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Fragments of the history of sheaf theory

Part of the Lecture Notes in Mathematics book series (LNM,volume 753)

Keywords

  • Complex Manifold
  • Algebraic Variety
  • Coherent Sheave
  • Stein Manifold
  • Sheaf Theory

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Bibliography on Sheaves and Algebraic Topology

Bibliography on Sheaves and Complex Analysis

  • Aeppli, A.: On the cohomology structure of Stein manifolds. In Proc. Conf. on Complex Analysis, Minneapolis 1964, 58–70. Springer-Verlag 1965

    Google Scholar 

  • Alling, N.L.: Analytic geometry on real algebraic curves. Math. Ann., 207, 23–46 (1974)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Andreotti, A., Banica, C.: Relative duality on complex spaces, I. Rev. Roumaine math. pures appl., 20, 981–1041 (1975)

    MathSciNet  MATH  Google Scholar 

  • Andreotti, A., Grauert, H.: Théorèmes de finitude pour la cohomologie des espaces complexes. Bull. Soc. Math. France, 90, 193–259 (1962)

    MathSciNet  MATH  Google Scholar 

  • Andreotti, A., Kas, A.: Serre duality on complex analytic spaces. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8), 50, 397–401 (1971)

    MathSciNet  MATH  Google Scholar 

  • Duality on complex spaces. Annali Scuola Norm. Sup. Pisa, 27, 187–263 (1973)

    MathSciNet  MATH  Google Scholar 

  • Andreotti, A., Norguet, F.: Problème de Lévi et convexité holomorphe pour les classes de cohomologie. Ann. Sc. Norm. Sup. Pisa (3), 20, 197–241 (1966)

    MathSciNet  MATH  Google Scholar 

  • La convexité holomorphe dans l'espace analytique des cycles d'une variété algébrique. Ann. Sc. Norm. Sup. Pisa, 21, 31–82 (1967)

    MATH  Google Scholar 

  • Andreotti, A., Stoll, W.: Meromorphic functions on complex spaces. Fonctions de pleusieur variables complexes. (Sém. Norguet, 1970/73), 279–309. LNM 409. Springer-Verlag 1974

    Google Scholar 

  • Atiyah, M.F.: Complex fibre bundles and ruled surfaces. Proc. London Math. Soc. (3), 5, 407–434 (1955)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • On the Krull-Schmidt theorem with applications to sheaves. Bull. Soc. Math. France, 84, 307–317 (1956)

    MathSciNet  MATH  Google Scholar 

  • Complex analytic connections in fibre bundles. Sym. Int. de Top. Alg., Mexico 1956. UNESCO 1958.

    Google Scholar 

  • Complex analytic connections in fibre bundles. Trans. Amer. Math. Soc., 85, 181–207 (1957)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Atiyah, M.F., Hirzebruch, F.: Analytic cycles on complex manifolds. Topology, 1, 25–45 (1962)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Atiyah, M.F., Rees, F.: Vector bundles on projective 3-space. Invent. Math., 35, 131–153 (1976)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Banica, C.: Duality theorems on Stein manifolds and cohomology with compact support. (Romanian). Stud. Cerc. Mat., 23, 523–559 (1971)

    MathSciNet  MATH  Google Scholar 

  • Le complété formel d'un espace analytique le long d'un sous-espace; un théorème de comparison. Manuscripta Math., 6, 207–244 (1972)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Banica, C., Brinzanescu, V.: Sur le polynome de Hilbert-Samuel d'un morphisme d'espaces complexes. C.R. Acad. Sci. Paris, Ser. A-B, 282, A215–A217 (1976)

    MathSciNet  MATH  Google Scholar 

  • Banica, C., Stanasila, O.: Sur la profondeur d'un faisceau analytique cohérent sur un espace de Stein. C.R. Acad. Sci. Paris, Ser. A-B, 269, A636–639 (1969)

    MathSciNet  MATH  Google Scholar 

  • A structure theorem for the analytic coherent sheaves. Boll. Un. Mat. Ital. (4), 2, 615–621 (1969)

    MathSciNet  MATH  Google Scholar 

  • Des caractérisations topologiques de la profondeur d'un faisceau analytique cohérent. In Espaces analytiques (Sém. Bucharest, 1969), 165–171. Ed. Acad. R.S.R., Bucharest, 1971

    Google Scholar 

  • Sur les germes de faisceaux analytiques cohérents definis autour de la frontière d'un espace de Stein. C.R. Acad. Sci. Paris, Ser. A-B, 270, A239–A241 (1970)

    MathSciNet  MATH  Google Scholar 

  • Sur la cohomologie des faisceaux analytiques cohérents à support dans un compact holomorphe-convexe. C.R. Acad. Sci. Paris, Sér. A-B, 270, A1174–A1177 (1970)

    MathSciNet  MATH  Google Scholar 

  • A remark on proper morphisms of analytic spaces. Boll. Un. Mat. Ital. (4), 4, 76–77 (1971)

    MathSciNet  MATH  Google Scholar 

  • Algebraic methods in the Global Theory of Complex Spaces. Wiley and Sons, 1976

    Google Scholar 

  • Barth, W.: Moduli of vector bundles on the projective plane. Invent. Math., 42, 63–91 (1977)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Beauville, A.: Une notion de résidu en géométrie analytique. Sém. Lelong, No. 13 (1969/70). LNM 205, 183–203. Springer-Verlag 1971

    Google Scholar 

  • Behnke, H., Grauert, H.: Analysis in non-compact complex spaces. In Analytic Functions, 11–44. Princeton Univ. Press, 1960

    Google Scholar 

  • Behnke, H., Thullen, P.: Theorie der Funktionen mehrerer komplexer Veränderlichen. 2nd. Edition. Ergebnisse der Math. und ihrer Grenzgebeite, Band 51. Springer-Verlag, 1970

    Google Scholar 

  • Bers, L.: Several complex variables. Lectures at New York University (mimeographed) 1963

    Google Scholar 

  • Bishop, E.: Analytic functions with values in a Fréchet space. Pacific J. Math., 12, 1177–1192 (1962)

    CrossRef  MathSciNet  Google Scholar 

  • Bkouche, R.: Espaces annelés commutatifs compacts. C.R. Acad. Sci. Paris, Sér. A-B, 273, A1200–A1203 (1971)

    MathSciNet  MATH  Google Scholar 

  • Blickensdörfer, A.: Lokale Cohomologiegarben kohärenter analytischer Garben. Rev. Roumaine de Math. Pures et Appl., 23, 3–10 (1978)

    MATH  Google Scholar 

  • Bloom, T.: Cohomologie de De Rham d'un espace analytique. Sém. Lelong, No. 7 (1968/69). LNM 116, 65–74. Springer-Verlag 1970

    Google Scholar 

  • Bloom, T., Herrera, M.: De Rham cohomology of an analytic space. Invent. Math. 7, 275–296 (1969)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Borel, A., Haefliger, A.: La classe d'homologie fondamentale d'un espace analytique. Bull. Soc. Math. France, 89, 461–513 (1961)

    MathSciNet  MATH  Google Scholar 

  • Borel, A., Serre, J.-P.: Le théorème de Riemann-Roch. Bull. Soc. Math. France, 86, 97–136 (1958)

    MathSciNet  MATH  Google Scholar 

  • Bremermann, H.: Oka's theorem for Stein manifolds. In Sem. on Analytic Functions, 29–35. Institute for Advanced Studies, Princeton, 1957

    Google Scholar 

  • Cartan, H.: Idéaux de fonctions analytiques de n variables complexes. Ann. l'Ecole Normale, 3e serie, 61, 149–197 (1944)

    MathSciNet  MATH  Google Scholar 

  • Idéaux et modules de fonctions analytiques de variables complexes. Bull. Soc. Math. France, 78, 29–64 (1950)

    MathSciNet  MATH  Google Scholar 

  • Problèmes globaux dans la théorie des fonctions analytiques de plusieurs variables complexes. In Proc. Int. Cong. Math. 1950, vol. I, 152–164

    MathSciNet  Google Scholar 

  • Séminaire H. Cartan. E.N.S. 1951/52

    Google Scholar 

  • Variétés analytiques complexes et cohomologie. Centre Belge Rech. Math. Colloque sur les fonctions de plusieurs variables, 1953, 41–55

    Google Scholar 

  • Espaces fibrés analytiques complexes. Sém. Bourbaki No. 34, 1950

    Google Scholar 

  • Fonctions et variétés algébroides, d'arpès Hirzebruch. Sém. Bourbaki, No. 84 (1953)

    Google Scholar 

  • Séminaire H. Cartan. E.N.S. 1953/54

    Google Scholar 

  • Sur un mémoire inédit de Grauert. Sém. Bourbaki, No. 115 (1955)

    Google Scholar 

  • Espaces fibrés analytiques, d'après Grauert. Sém. Bourbaki, No. 137 (1956)

    Google Scholar 

  • Espaces fibrés analytiques. Sym. Int. Alg. Top., Mexico 1956. 1958

    Google Scholar 

  • Variétés analytiques réelles et variétés analytiques complexes. Bull. Soc. Math. France, 85, 77–79 (1957)

    MathSciNet  MATH  Google Scholar 

  • Sur les fonctions de plusieurs variables complexes: les espaces analytiques. Proc. Int. Cong. Math., 1958, 32–52

    Google Scholar 

  • Quotients of complex analytic spaces. Int. Colloq. on Function Theory, Tata Institute, Bombay, 1960, 1–15

    Google Scholar 

  • Séminaire H. Cartan 1960/61

    Google Scholar 

  • Thèse de Douady, Sém. Bourbaki, No. 296 (1965)

    Google Scholar 

  • Sous-ensembles analytiques d'une variété banachique complexe, d'après Ramis. Sém. Bourbaki, No. 354 (1969)

    Google Scholar 

  • Les travaux de Georges De Rham sur les variétés differentiables. In Essays on Topology and Related Topics, Mémoires dédiés à G. De Rham. Springer-Verlag 1970, 1–11.

    Google Scholar 

  • Sur l'anneau des germes de fonctions holomorphes dans un espace de Banach. Séminaire sur les espaces analytiques. Ed. de l'Acad. de la Rep. Soc. de Roumanie, Bucarest, 1971, 129–135

    Google Scholar 

  • Sur les travaux de Karl Stein. Schriftenreihe des Math. Inst. der Univ. Münster, 2 Ser., 1973

    Google Scholar 

  • Introduction à la Géométrie Analytique. In preparation

    Google Scholar 

  • Cartan, H., Serre, J.-P.: Un théorème de finitude concernant les variétés analytiques compactes. C.R. Acad. Sci. Paris, 237, 129–130 (1953)

    MathSciNet  MATH  Google Scholar 

  • Chern, S.S.: Complex manifolds, Scientific report on the second summer institute, Bull. Amer. Math. Soc., 62, 101–117 (1956)

    CrossRef  MATH  Google Scholar 

  • Complex Manifolds without Potential Theory. Princeton: van Nostrand 1967

    Google Scholar 

  • Coen, S.: Sul rango dei fasci coerenti. Bull. Un. Mat. Ital. (3), 22, 373–382 (1967)

    MathSciNet  MATH  Google Scholar 

  • Coeuré, G.: Analytic functions and manifolds in infinite dimensional spaces. North Holland Mathematics Studies, 11. North Holland/American Elsevier 1974

    Google Scholar 

  • Coleff, N.R., Herrera, M.E.: Les courants résiduels associés à une forme méromorphe. LNM 633. Springer-Verlag 1978

    Google Scholar 

  • Colombé, Y.: Intégration sur un ensemble semi-analytique. Sém. Lelong, No. 4 (1968/69). LNM 116, 39–55. Springer-Verlag 1970

    Google Scholar 

  • Darko, P.W.: Sections of coherent analytic sheaves with growth on complex spaces. Ann. Mat. Pura Appl. (4), 104, 283–295 (1975)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Dineen, S.: Sheaves of holomorphic functions on infinite dimensional vector spaces. Math. Ann., 202, 337–345 (1973)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Dolbeault, P.: Sur la cohomologie des variétés analytiques complexes. C.R. Acad. Sci. Paris, 236, 175–177 (1953)

    MathSciNet  MATH  Google Scholar 

  • Formes différentielles méromorphes localement exactes. Trans. Amer. Math. Soc., 82, 494–518 (1956)

    MathSciNet  MATH  Google Scholar 

  • Formes différentielles et cohomologie sur une variété analytique complexe, I. Ann. of Math., 64, 83–130 (1956). II. Ann. of Math., 65, 282–330 (1957)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Espaces analytiques. Sém. d'analyse de la Fac. des Sci. des Paris 1957–58

    Google Scholar 

  • Résolution d'un faisceau de formes différentielles méromorphes fermées. Sém. Lelong, No. 8, 1966/67

    Google Scholar 

  • Theory of residues and homology. Sém. P. Lelong, No. 14, 1968/69. LNM 116. 152–163. Springer-Verlag 1970

    Google Scholar 

  • Courants résidus des formes semi-méromorphes. Sém. Lelong, No. 6, 1969/70. LNM 205, 56–70. Springer-Verlag 1971

    Google Scholar 

  • Théorie des résidus. Sém. Lelong, No. 17, 1969/70. LNM 205, 232–243. Springer-Verlag 1971

    Google Scholar 

  • Valeurs principales et résidus sur les espaces analytiques complexes. Sém. Lelong, No. 2, 1970/71. LNM 275, 14–26. Springer-Verlag 1972

    Google Scholar 

  • Theory of residues in several variables. In Global Analysis and its Applications, II, Trieste, 1972. Int. Atomic Energy Agency, Vienna, 1974, 79–96

    Google Scholar 

  • Dolbeault, P., Poly, J.: Differential forms with subanalytic singularities; Integral cohomology; Residues, Several Complex Variables, Williams College 1975. Proc. Symp. in Pure Math., Amer. Math. Soc., Vol. 30, Part 1, 255–261 (1977)

    CrossRef  MathSciNet  Google Scholar 

  • Dolbeault, P., Robin, G.: Sur le faisceau des diviseurs à coéfficients complexes. C.R. Acad. Sci. Paris, 262, 1452–1455 (1966)

    MathSciNet  MATH  Google Scholar 

  • Donain, I.F.: Cohomology with estimates for coherent analytic sheaves over complex spaces. (Russian). Mat. Sb. (N.S.), 86 (128), 339–366 (1971)

    MathSciNet  Google Scholar 

  • Complete families of deformations of germs of complex spaces. Math. USSR Sbornik, 18, 397–406 (1972)

    CrossRef  Google Scholar 

  • Douady, A.: Variétés et espaces mixtes; Déformations régulières; Obstruction primaire à la déformation. Sém. Cartan 13, 1960/61. Exp. 2,3 and 4

    Google Scholar 

  • : Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné. Ann. Inst. Fourier, Grenoble, 16, fasc. 1, 1–95 (1966)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Platness and privilege. Monographic No. 17 l'Enseignement Math. Genève, 47–74 (1968)

    Google Scholar 

  • Le théorème des images directes de Grauert (d'après Kiehl-Verdier). Sém. Bourbaki, 404, 1971/72. LNM 317. Springer-Verlag 1973

    Google Scholar 

  • Prolongement de faisceaux analytiques cohérents (Travaux de Trautmann, Frisch-Guenot, et Siu). Sém. Bourbaki 366, 1969/70. LNM 180. Springer-Verlag 1971

    Google Scholar 

  • Douady, A., Frisch, J., Hirschowitz, A.: Recouvrements privilégiés. Ann. Inst. Fourier (Grenoble), 22, fasc. 4, 59–96 (1972)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Douady, A., Verdier, J.-L.: Séminaire de géométrie analytique, Astérisque 16–17. Soc. Math. France 1974

    Google Scholar 

  • Séminaire de géométrie analytique, Astérisque 36–37. Soc. Math. France 1976

    Google Scholar 

  • Dowker, C.H.: Lectures on Sheaf Theory. Tata Institute, Bombay 1957

    Google Scholar 

  • Draper, R.N.: Quotients of analytic sheaves (with application to the generic local ring of an analytic subset at a point). Math. Ann., 191, 313–325 (1971)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Duma, A.: Faisceaux pseudo-cohérents. C.R. Acad. Bulgare Sci., 23, 615–618 (1970)

    MathSciNet  MATH  Google Scholar 

  • Ferrari, A.: Cohomology and holomorphic differential forms on complex analytic spaces. Ann. Scuola Norm. Sup. Pisa (3), 24, 65–77 (1970)

    MathSciNet  MATH  Google Scholar 

  • Field, M.J.: Holomorphic function theory and complex manifolds. In Global Analysis and its Applications, Vol. I, Trieste, 1972, 83–134. Int. Atomic Energy Agency, Vienna, 1974

    Google Scholar 

  • Sheaf cohomology, structures on manifolds and vanishing theory. Ibid., Vol. II, 167–188

    Google Scholar 

  • : Several complex variables. In Complex analysis and its applications, Vol. I, Trieste 1975, 153–234. Int. Atomic Energy Agency, Vienna, 1976

    MathSciNet  Google Scholar 

  • Fischer, G.: Lineare Faserräume und kohärente Modulgarben über komplexen Räumen. Arch. Math. (Basel), 18, 609–617 (1967)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Complex Analytic Gecmetry. LNM 538. Springer-Verlag 1976

    Google Scholar 

  • Fischer, W.: Zur Deformationstheorie komplex-analytischer Faserbündel. Schr. Math. Inst. Univ. Münster, No. 30 (1964)

    Google Scholar 

  • Flondor, P., Jurchescu, M.: Grauert's coherence theorem for holomorphic spaces. Rev. Roumaine Math. Pures Appl., 17, 1199–1211 (1972)

    MathSciNet  MATH  Google Scholar 

  • Forster, O.: Zur Theorie der Steinschen Algebren und Moduln. Math. Zeit., 97, 376–405 (1967)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Riemannsche Flächen, Heidelberger Taschenbücher. Springer-Verlag 1977

    Google Scholar 

  • Forster, O., Knorr, K.: Ein Beweis des Grauertschen Bildgarbensatzes nach Ideen von B. Malgrange. Manuscripta Math., 5, 19–44 (1971)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Relativ-analytische Räume und die Kohärenz von Bildgarben. Invent. Math., 16, 113–160 (1972)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Forster, O., Ramspott, K.J.: Okasche Paare von Garben nicht-abelscher Gruppen. Invent. Math., 1, 260–286 (1966)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Analytische Modulgarben und Endromisbündel. Invent. Math., 2, 145–170 (1966)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Fouché, F.: Un complexe dualisant en géométrie analytique. Fonctions de plusieurs variables complexes, II. Sém. Norguet, 1974/75, 282–332. LNM 482. Springer 1975

    Google Scholar 

  • Frenkel, J.: Cohomologie non abélienne et espaces fibrés. Bull. Soc. Math. France, 85, 135–220 (1957)

    MathSciNet  MATH  Google Scholar 

  • Séminaire sur les théorèmes A et B pour les espaces de Stein. Strasbourg, 1965

    Google Scholar 

  • Frisch, J.: Fonctions analytiques sur un ensemble semi-analytique. C.R. Acad. Sci. Paris, 260, 2974–2976 (1965)

    MathSciNet  MATH  Google Scholar 

  • Platitudes. Sém. Lelong, No. 7, 1966/67

    Google Scholar 

  • : Points de platitude d'un morphisme d'espaces analytiques complexes. Invent. Math., 4, 118–138 (1967)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Aplatissement en géométrie analytique. Ann. Sci. Ecole Norm. Sup. (4), 1, 305–312 (1968)

    MathSciNet  MATH  Google Scholar 

  • Frisch, J., Guenot, J.: Prolongement de faisceaux analytiques cohérents. Invent. Math., 7, 321–343 (1969)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Frölicher, A., Nijenhuis, A.: Some new cohomology invariants for complex manifolds, I, II. Nederl. Akad. Wetensch. Proc. Ser. A, 59 = Indag. Math., 18, 540–552; 553–564 (1956)

    MathSciNet  MATH  Google Scholar 

  • Frölicher, A., Kobayashi, E.T., Nijenhuis, A.: Deformation theory of complex manifolds. Tech. Report No. 10, University of Washington, 1959 (mimeographed)

    Google Scholar 

  • Fujimoto, H.: The continuation of sections of torsion-free coherent analytic sheaves. Nagoya Math. J., 31, 279–294 (1968)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Fuks, B.A.: Introduction to the theory of analytic functions of several complex variables. (Russian). Gosudarsto. Izdat. Fiz. — Mat. Lit., Moscow, 1962.

    Google Scholar 

  • Special chapters in the theory of analytic functions of several complex variables. (Russian). Ibid., 1963. Trans. Math. Monog., 14. Amer. Math. Soc., 1965

    Google Scholar 

  • Golovin, V.D.: Duality for coherent analytic sheaves. (Russian). Dokl. Akad. Nauk SSSR, 191, 755–758 (1970)

    MathSciNet  MATH  Google Scholar 

  • : Cohomology and analytic differential forms. Math. Notes, 9, 330–332 (1971)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Duality in the theory of functions of several complex variables. Math. USSR — Sb., 13, 577–588 (1971)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Alexander-Pontryagin duality in complex analysis. Math. Notes, 13, 339–341 (1973)

    CrossRef  Google Scholar 

  • : Cohomology spaces with compact supports for complex analytic manifolds. (Russian). Ukrain. Geometr. Sb. Vyp., 13, 27–63 (1973)

    MathSciNet  Google Scholar 

  • : The global dimension of the sheaf of germs of holomorphic functions. (Russian). Dokl. Akad. Nauk SSSR, 223, 273–275 (1975)

    MathSciNet  Google Scholar 

  • : The homology of analytic sheaves. (Russian). Dokl. Akad. Nauk SSSR, 225, 41–43 (1975)

    MathSciNet  Google Scholar 

  • : Criteria for injectivity of analytic sheaves. Mat. Zametki, 18, 589–596 (1975)

    MathSciNet  Google Scholar 

  • Grauert, H.: Charakterisierung der holomorph vollständigen komplexen Räume. Math. Ann., 129, 233–259 (1955)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Charakterisierung der Holomorphiegebiete durch die vollständige Kählersche Metrik. Math. Ann., 131, 38–75 (1956)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Approximationssätze fur holomorphe Funktionen mit Werten in komplexen Räumen. Math. Ann., 133, 139–159 (1957)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Holomorphe Funktionen mit Werten in komplexen Lieschen Gruppen. Math. Ann., 133, 450–472 (1957)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Analytic fibre bundles over holomorphically complete spaces. Sem. on Analytic Functions, Vol. I. Inst. for Advanced Study, Princeton, 1957, 80–102

    Google Scholar 

  • : Faisceaux analytiques cohérents sur le produit d'un espace analytique et d'un espace projectif. C.R. Acad. Sci. Paris, 245, 819–822 (1957)

    MathSciNet  MATH  Google Scholar 

  • : Espaces analytiquement complets. C.R. Acad. Sci. Paris, 245, 882–885 (1957)

    MathSciNet  MATH  Google Scholar 

  • : Sur les revètements analytiques des variétés analytiques. C.R. Acad. Sci. Paris, 245, 918–921 (1957)

    MathSciNet  MATH  Google Scholar 

  • : Singularitäten komplexer Mannigfaltigkeiten und Riemannscher Gebiete. Math. Z., 67, 103–128 (1957)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : On the number of moduli of complex structures. Contributions to Function Theory, Int. Colloq. on Function Theory, Tata Inst., Bombay, 1960, 63–78

    MATH  Google Scholar 

  • Ein Theorem der analytischen Garbentheorie und die Modulräume komplexer Strukturen. Publ. I.H.E.S., No. 5 (1960)

    Google Scholar 

  • : Über Modifikationen und exzeptionelle analytische Mengen. Math. Ann., 146, 331–368 (1962)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • The coherence of direct images. In Topics in Several Complex Variables. L'Enseignement Math., Monog. No. 17, 99–119 (1968)

    Google Scholar 

  • Über die Deformation von Pseudogruppen-strukturen. In Colloq. Anal. et Top. en l'honneur de H. Cartan. Astérisque 32–33, Soc. Math. France, 1976, 141–150

    Google Scholar 

  • Grauert, H., Fritzsche, K.: Einführung in die Funktionentheorie mehrerer Veränderlicher. Springer-Verlag 1974

    Google Scholar 

  • Grauert, H., Kerner, H.: Deformationen von Singularitäten komplexer Räume. Math. Ann., 153, 236–260 (1964)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Grauert, H., Remmert, R.: Zur Theorie der Modifikationen, I. Math. Ann., 129, 274–296 (1955).

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Espaces analytiquement complètes. C.R. Acad. Sci. Paris, 245, 882–885 (1957)

    MathSciNet  MATH  Google Scholar 

  • : Faisceaux analytiques cohérents sur le produit d'un espace analytique et d'un espace projectif. C.R. Acad. Sci. Paris 245, 819–822 (1957)

    MathSciNet  MATH  Google Scholar 

  • : Komplexe Räume. Math. Ann., 136, 245–318 (1958)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Bilder und Urbilder analytischer Garben. Ann. of Math., 68, 393–443 (1958)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Analytische Stellenalgebren. Die Grundlehren der mathematischen Wissenschaften, Band 176. Springer Verlag 1971

    Google Scholar 

  • : Zur Spaltung lokal-freier Garben über Riemannschen Flächen. Math. Zeit., 144, 35–43 (1975)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Theorie der Steinschen Räume. Grundlehren der mathematischen Wissenschaften, 227. Springer-Verlag 1977

    Google Scholar 

  • Grauert, H., Riemenschneider, O.: Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen. Invent. Math., 11, 263–292 (1970)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Greenleaf, N.: Analytic sheaves on Klein surfaces. Pacific J. Math., 37, 671–675 (1971)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Griffiths, P.A.: Some geometric and analytic properties of homogeneous complex manifolds. I. Sheaves and cohomology. Acta Math., 110, 115–155 (1963). II. Deformations and bundle theory. acta Math., 110, 157–208 (1963)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • The extension problem for compact submanifolds of complex manifolds, I. In Proc. Conf. on Complex Analysis, Minneapolis, 1964, 113–141. Springer-Verlag 1965

    Google Scholar 

  • Topics in algebraic and analytic geometry. Math. Notes, No. 13. Princeton Univ. Press and Univ. of Tokyo Press, 1974

    Google Scholar 

  • Gunning, R.C.: On Cartan's theorems A and B in several complex variables. Ann. di Math. pura ed appl., 55, 1–11 (1961)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Connections for a class of pseudogroup structures. In Proc. Conf. on Complex Analysis, Minneapolis, 1964, 186–194. Springer-Verlag 1965

    Google Scholar 

  • : Lectures on Riemann Surfaces. Math. Notes, Princeton 1966

    MATH  Google Scholar 

  • : Lectures on Complex Analytic Varieties: I. The local parametrization theorem. Math. Notes, Princeton 1970. II. Finite analytic mappings. Math. Notes, Princeton 1974

    MATH  Google Scholar 

  • Gunning, R., Rossi, H.: Analytic functions of several complex variables. Prentice Hall, N.J. 1965

    MATH  Google Scholar 

  • Hervé, M.: Several Complex Variables, Local Theory. Oxford Univ. Press 1963

    Google Scholar 

  • Fonctions periodiques d'une ou plusieurs variables complexes. Fac. des Sci. de Paris, 1963/64. Published 1967

    Google Scholar 

  • Fonctions de plusieurs variables complexes: Ensembles analytiques. Fac. des Sci. de Paris, 1964/65. Published 1966

    Google Scholar 

  • Hirzebruch, F.: On Steenrod's reduced powers, the index of inertia and the Todd genus. Proc. Nat. Acad. Sci. U.S.A., 39, 951–956 (1953)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Über vierdimensionale Riemannsche Flächen mehrdeutiger analytischer Funktionen von zwei komplexen Veränderlichen. Math. Ann., 126, 1–22 (1953)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Arithmetic genera and the theorem of Riemann-Roch for algebraic varieties. Proc. Nat. Acad. Sci. U.S.A., 40, 110–114 (1954)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Some problems on differentiable and complex manifolds. Ann. of Math., 60, 213–236 (1954)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Automorphe Formen und der Satz von Riemann-Roch. Symp. Int. Top. Alg., Mexico 1956, 129–144. UNESCO 1958

    Google Scholar 

  • Komplexe Mannigfaltigkeiten. Proc. Int. Cong. Math. 1958, 119–136

    Google Scholar 

  • A Riemann-Roch theorem for differentiable manifolds. Sém. Bourbaki, No. 177, 1959

    Google Scholar 

  • Neue topologische Methoden in der algebraischen Geometrie. Ergebnisse der Mathematik, Neue Folge, Heft 9. Berlin-Göttingen-Heidelberg: Springer 1956. 3rd edition (English), 1966

    CrossRef  Google Scholar 

  • Hirzebruch, F., Scheja, G.: Der Satz von Riemann-Roch in Faisceau-theoretischer Formulierung: einige Anwendungen und offene Fragen. Proc. Int. Cong. Math., Amsterdam, 1954, Vol. III, 457–473

    Google Scholar 

  • Garben-und Cohomologietheorie. Ausarbeitungen Math. und phys. Vorlesungen, Band XX, 1957

    Google Scholar 

  • Hirzebruch, F., Zagier, D.: The Atiyah-Singer theorem and elementary number theory. Math. Lecture Series, No. 3. Publish or Perish, 1974

    Google Scholar 

  • Hodge, W.: Differential forms in algebraic geometry. Rend. Mat. e Appl. (5), 20, 172–234 (1961)

    MathSciNet  MATH  Google Scholar 

  • Hodge, W.V.D., Atiyah, M.: Integrals of the second kind on an algebraic variety. Ann. of Math., 62, 56–91 (1955)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Hörmander, L.: An Introduction to Complex Analysis in Several Variables. North Holland, Amsterdam, 1973

    MATH  Google Scholar 

  • Houzel, C.: Espaces analytiques relatifs et théorème de finitude. Math. Ann., 205, 13–54 (1973)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Jurchescu, M.: Espaces annelés transcendents et morphismes analytiques. Espaces Analytiques, Sém. Bucharest, 1969, 25–38. Ed. Acad. R.S.R., Bucharest, 1971

    Google Scholar 

  • Coherent sheaves on bordered Riemann surfaces. Trans. Amer. Math. Soc., 144, 557–563 (1969)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Kajiwara, J.: On the equivalence of Hitotumatu's conjecture and the decomposition theorem. Mem. Fac. Sci. Kyusyu Univ. Ser. A, 12, 113–135 (1958)

    MathSciNet  MATH  Google Scholar 

  • Katznelson, Y.: Lectures on several complex variables. (Mimeographed). Yale 1963–64

    Google Scholar 

  • Kaup, B.: Äquivalenzrelationen auf allgemeinen komplexen Räumen. Schr. Math. Inst. Univ. Münster, Nr. 39, 1968

    Google Scholar 

  • Über Kokerne und Pushouts in der Kategorie der komplex-analytischen Räume. Math. Ann., 189, 60–76 (1970)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Kaup, L.: Eine Künnethformel für kohärente analytische Garben. Dissertation, Erlangen, 1965

    Google Scholar 

  • Eine Künnethformel für Fréchetgarben. Math. Zeit., 97, 158–168 (1967)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Das topologische Tensorprodukt kohärenter analytischer Garben. Math. Zeit., 106, 273–293 (1968)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Zur Homologie projektiv algebraischer Varietäten. Ann. Scuola Norm. Sup. Pisa (3), 26, 479–513 (1972)

    MathSciNet  MATH  Google Scholar 

  • Kerner, H.: Kohärente analytische Garben mit niederdimensionalem Träger. Bayer. Akad. Wiss. Math.-Natur. Kl. S.-B., 1966, Abt. II, 41–51 (1967)

    Google Scholar 

  • Zur Theorie der Deformationen komplexer Räume. Math. Zeit., 103, 389–398 (1968)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Kiehl, R.: Relative analytische Räume. Invent. Math., 16, 40–112 (1972)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Kiehl, R., Verdier, J.-L.: Ein einfacher Beweis des Kohärenzsatzes von Grauert. Math. Ann., 195, 24–50 (1971)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Knorr, K.: Über den Grauertschen Kohärenzsatz bei eigentlichen holomorphen Abbildungen, I, II. Ann. Scuola Norm. Sup. Pisa (3), 22, 729–761 (1968)

    MathSciNet  MATH  Google Scholar 

  • Le théorème de projection de Grauert. Espaces Analytiques. Sém. Bucharest, 1969, 17–24. Ed. Acad. R.S.R., Bucharest, 1971

    Google Scholar 

  • Der Grauertsche Kohärenzsatz. Invent. Math., 12, 118–172 (1971)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Kodaira, K.: On cohomology groups of compact analytic varieties with coefficients in some analytic faisceaux. Proc. Nat. Acad. Sci. U.S.A., 39, 865–868 (1953)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • On a differential-geometric method in the theory of analytic stacks. Proc. Nat. Acad. Sci. U.S.A., 39, 1268–1273 (1953)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • On Kähler varieties of restricted type. Proc. Nat. Acad. Sci. U.S.A., 40, 313–316 (1954)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Some results in the transcendental theory of algebraic varieties. Proc. Int. Cong. Math. 1954, Amsterdam, 474–480

    Google Scholar 

  • On compact analytic surfaces. Ann. Math. I. 71, 111–152 (1960), II. 77, 563–626 (1963), III. 78, 1–40 (1963)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Kodaira, K., Nirenberg, L., Spencer, D.C.: On the existence of deformations of complex analytic structures. Ann. of Math., 68, 450–459 (1958)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Kodaira, K. Spencer, D.C.: On arithmetic genera of algebraic varieties. Proc. Nat. Acad. Sci. U.S.A., 39, 641–649 (1953)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Groups of complex line bundles over compact Kähler varieties. Proc. Nat. Acad. Sci. U.S.A., 39, 868–872 (1953)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Divisor class groups on algebraic varieties. Proc. Nat. Acad. Sci. U.S.A., 39, 872–877 (1953)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • On a theorem of Lefschetz and the lemma of Enriques-Severi-Zariski. Proc. Nat. Acad. Sci. U.S.A., 39, 1273–1277 (1953)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • On the variation of almost-complex structure. In Algebraic Geometry and Topology, A Symposium in honor of S. Lefschetz. Princeton University, 1957

    Google Scholar 

  • On deformations of complex analytic structures I, II. Ann. of Math., 67, 328–466 (1958)

    CrossRef  MathSciNet  Google Scholar 

  • Existence of complex structure on a differentiable family of deformations of compact complex manifolds. Ann. of Math., 70, 145–166 (1959)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • On deformations of complex analytic structures III. Ann. of Math., 71, 43–76 (1960)

    CrossRef  MathSciNet  Google Scholar 

  • Multifoliate structures. Ann. of Math., 74, 52–100 (1961)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Kripke, B.: Finitely generated coherent analytic sheaves. Proc. Amer. Math. Soc., 21, 530–534 (1969)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Kuhlmann, N.: Algebraic function fields on complex analytic spaces. In Proc. Conf. on Complex Analysis, Minneapolis, 1964, 155–172. Springer-Verlag, 1965

    Google Scholar 

  • On the coherence of direct images. In Espaces analytiques, Sém. Bucharest, 1969, 71–94. Ed. Acad. R.S.R., Bucharest, 1971

    Google Scholar 

  • Sur la cohérence des images directes, Fonctions de Plusieurs Variables Complexes. LNM 409. Springer-Verlag, 1974

    Google Scholar 

  • Kultze, R.: Lokalholomorphe Funktionen und das Geschlecht kompakter Riemannscher Flächen. Math. Annalen, 143, 163–186 (1961)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Kuranishi, M.: On the local theory of continuous infinite pseudogroups, I. Nagoya Math. J., 15, 225–260; II. Nagoya Math. J., 19, 55–91 (1961)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • On the locally complete families of complex analytic structures. Ann. Math., 75, 536–577 (1962)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Sheaves defined by differential equations and applications to deformation theory of pseudo-group structures. Amer. J. Math., 86, 379–391 (1964)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • New proof for the existence of locally complete families of complex structures. In Proc. Conf. on Complex Analysis, Minneapolis, 1964, 142–154. Springer-Verlag 1965

    Google Scholar 

  • Deformations of compact complex manifolds. Sém. Math. Sup., No. 39 (Eté 1969). Press l'Univ. Montréal, 1971

    Google Scholar 

  • Laiterer, Ju.: Coherent analytic sheaves that are continuous up to the boundary. (Russian). Sakharth. SSR Mecn. Akad. Moambe, 75, 537–539 (1974)

    MathSciNet  Google Scholar 

  • Langmann, K.: Ringe holomorpher Funktionen und endliche Idealverteilungen. Schr. Math. Inst. Münster (2), Heft 3, 1971

    Google Scholar 

  • Globale Moduln. Math. Zeit., 124, 141–168 (1972)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Globale Ringe und Moduln. Math. Zeit., 128, 169–185 (1972)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Langmann, K., Lütkebohmert, W.: Cousinverteilungen und Fortsetzungssätze. LNM 367. Springer-Verlag 1974

    Google Scholar 

  • Laufer, H.B.: On sheaf cohomology and envelopes of holomorphy. Ann. Math., 84, 102–118 (1966)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • On Serre duality and envelopes of holomorphy. Trans. Amer. Math. Soc., 128, 414–436 (1967)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • On the infinite dimensionality of the Dolbeault cohomology groups. Proc. Amer. Math. Soc., 52, 293–296 (1975)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Lieb, I.: Über komplexe Räume und komplexe Spektren. Invent. Math., 1, 45–58 (1966)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Lieberman, D., Sernesi, E.: Semicontinuity of L-dimension. Math. Ann., 225, 77–88 (1977)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Malgrange, B.: Existence et approximation des solutions des équations aux derivées partielles et des équations de convolution. Ann. Inst. Fourier, Grenoble, 6, 271–355 (1955/56)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Variétés analytiques réelles. Sém. Bourbaki, No. 150, 1957

    Google Scholar 

  • Faisceaux sur des variétés analytiques réelles. Bull. Soc. Math. France, 85, 231–237 (1957)

    MathSciNet  MATH  Google Scholar 

  • Lectures on the theory of functions of several complex variables. Tata Inst., Bombay, 1958

    Google Scholar 

  • Sur les fonctions différentiables et les ensembles analytiques. Bull. Soc. Math. France, 91, 113–127 (1963)

    MathSciNet  MATH  Google Scholar 

  • Théorie analytique des équations différentiables. Sém. Bourbaki, No. 329, 1966/67

    Google Scholar 

  • Analytic spaces, Topics in Several Complex Variables, Monographie de l'Enseignement mathématique, No. 17. Geneve, 1968

    Google Scholar 

  • Equations de Lie, I.J.Diff. Geom., 6, 503–522 (1972). II.J.Diff. Geom., 7, 117–141 (1972)

    MathSciNet  Google Scholar 

  • Mandelbaum, R., Schaps, M.: Smoothing Perfect Varieties, Several Complex Variables, Williams College, 1975. Proc. Symp. in Pure Math., Amer. Math. Soc., 30, pt. 1, 51–56 (1977)

    CrossRef  MathSciNet  Google Scholar 

  • Morrow, J., Kodaira, K.: Complex Manifolds. Holt, Rinehart and Winston, Inc. 1971

    Google Scholar 

  • Nagel, A.: Cohomology of sheaves of holomorphic functions satisfying conditions on product domains. Trans. Amer. Math. Soc., 172, 133–141 (1972)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Cohomology, maximal ideals, and point evaluations. Proc. Amer. Math. Soc., 42, 47–50 (1974)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Modules over sheaves of holomorphic functions with differentiable boundary values Illinois J. Math., 18, 495–507 (1974)

    MathSciNet  MATH  Google Scholar 

  • On algebras of holomorphic functions with C-boundary values. Duke Math. J., 41, 527–535 (1974)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Narasimhan, R.: Introduction to the theory of analytic spaces. LNM 25. Springer-Verlag 1966

    Google Scholar 

  • Grauert's theorem on direct images of coherent sheaves. Sém. de Math. Sup. (Eté 1969), Univ. de Montréal, 1971

    Google Scholar 

  • Norguet, F.: Notions sur la théorie des catégories et l'algèbre homologique. Sém. Lelong, No. 9, 1957/58

    Google Scholar 

  • Faisceaux et espaces annelés. Sém. Lelong, No. 10, 1957/58

    Google Scholar 

  • Images de faisceaux analytiques cohérents d'après H. Grauert et R. Remmert. Sém. Lelong, No. 11, 1957/58

    Google Scholar 

  • Un théorème de finitude pour la cohomologie de faisceaux. Atti Acad. Naz. dei Lincei, Rendiconti, Ser. 8, 31, 222–224 (1961)

    MathSciNet  MATH  Google Scholar 

  • Théorèmes de finitude pour la cohomologie des espaces complexes. Sém. Bourbaki, No. 234, 1961/62

    Google Scholar 

  • Problème de Levi. Sém. Lelong, No. 6, 1962

    Google Scholar 

  • Variétés algébriques strictement Q-pseudoconvexes. Sém. Lelong, No. 10, 1967/68. LNM 71, Springer-Verlag 1970

    Google Scholar 

  • Introduction à la théorie cohomologique des résidus. Sém. Lelong, No. 4 (1969/70). LNM 205, 34–55. Springer-Verlag 1971

    Google Scholar 

  • Oka, K.: Sur les fonctions analytiques de plusieurs variables (VII Sur quelques notions arithmétiques). Bull. Soc. Math. France, 78, 1–27 (1950)

    MathSciNet  MATH  Google Scholar 

  • Sur les fonctions analytiques de plusieurs variables. Iwanami Shoten, Tokyo 1961

    MATH  Google Scholar 

  • Onishchik, A.L.: Stein spaces. J. Soviet Math., 4, 540–554 (1975)

    CrossRef  MATH  Google Scholar 

  • Palamodov, V.P.: Coherent analytic sheaves. (Russian). In Contemporary Problems in Theory of Anal. Functions (Int. Conf., Erevan, 1965), (Russian), 246–247 Izdat. "Nauka", Moscow, 1966

    Google Scholar 

  • Pankov, A.A.: Certain sheaves that are connected with holomorphic Banach bundles. (Russian). Mat. Issled., 7, Vyp. 1(23), 108–115 (1972)

    MathSciNet  Google Scholar 

  • Pourcin, G.: Théorème de Douady au-dessus de S. Ann. Scuola Norm. Sup. Pisa (3), 23, 451–459 (1969)

    MathSciNet  MATH  Google Scholar 

  • Ramis, J.-P.: Sous-ensembles analytiques d'une variété analytiques banachique. Sém. Lelong, No. 15, 1967–68. LNM 71. Springer-Verlag 1970

    Google Scholar 

  • Sous-ensembles analytiques d'une variété banachique complexe. Ergebnisse der Math. und ihrer Grenzgebiete, Band 53. Springer-Verlag, 1970

    Google Scholar 

  • Ramis, J.-P., Ruget, G.: Complexe dualisant et théorèmes de dualité, en géométrie analytique complexe. Inst. Hautes Etudes Sci. Publ. Math., 38, 77–91 (1970)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Dualité relative et images directes en géométrie analytique. C.R. Acad. Sci. Paris, Sér. A-B, 276, A843–A845 (1973)

    MathSciNet  MATH  Google Scholar 

  • Résidus et dualité. Invent. Math., 26, 89–131 (1974)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Ramis, J.P., Ruget, G., Verdier, J.-L.: Dualité relative en géométrie analytique complexe. Invent. Math., 13, 261–283 (1971)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Reiffen, H.-J.: Das Lemma von Poincaré für holomorphe Differentialformen auf komplexen Räumen. Math. Zeit., 101, 269–284 (1967)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Remmert, R.: Über stetige und eigentliche Modifikationen komplexer Räume. Colloq. de Top. de Strasbourg, 1954

    Google Scholar 

  • Meromorphe Funktionen in kompakten komplexen Räumen. Math. Ann., 132, 277–288 (1956)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Projektionen analytischer Mengen. Math. Ann., 130, 410–441 (1956)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Holomorphe und meromorphe Abbildungen komplexer Räume. Math. Ann., 133, 328–370 (1957)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Robinson, A.: Germs. In Applications of Model Theory to Algebra, Analysis and Probability (Intern. Sympos., Pasadena, Calif., 1967), 138–149. Holt, Rinehart and Winston, 1969

    Google Scholar 

  • Enlarged sheaves. Victoria Symposium on Non-standard Analysis (1972). LNM 369, 249–260. Springer-Verlag 1974

    Google Scholar 

  • Rossi, H.: Analytic spaces. Lecture Notes, Princeton Univ., 1960

    Google Scholar 

  • Vector fields on analytic spaces. Ann. Math., 78, 455–467 (1963)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Topics in complex manifolds. Sém. de Math. Sup. (Eté 1967), Univ. de Montréal, 1968

    Google Scholar 

  • Royden, H.L.: One-dimensional cohomology in domains of holomorphy. Ann. Math., 78, 197–200 (1963)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Ruget, G.: Un théorème de dualité pour la cohomologie d'un espace analytique à valeur dans un faisceau cohérent. I, II. Sém. de Géom. Anal. (1968/69), Exp. Nos. 18,19. Fac. Sci. Univ. Paris, Orsay, 1969. (cf. also Exp. 2,9,12,16,16 bis,20)

    Google Scholar 

  • Sato, S.: On ideals of meromorphic functions of several complex variables. Mem. Fac. Sci. Kyushu Univ., Ser. A, 16, 101–113 (1962)

    MathSciNet  MATH  Google Scholar 

  • Schneider, M.: Bildgarben und Fasercohomologie für relativ analytische Räume. Manuscripta Math., 7, 67–82 (1972)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Serre, J.-P.: Cohomologie et fonctions de variables complexes. Sém. Bourbaki, No. 71, 1952

    Google Scholar 

  • Quelques problèmes globaux relatifs aux variétés de Stein. Centre Belge Rech. Math., Colloque sur les fonctions de plusieurs variables, 1953, 57–68

    Google Scholar 

  • Faisceaux analytiques. Sém. Bourbaki, No. 95, 1954

    Google Scholar 

  • Cohomologie et géométrie algébrique. Proc. Int. Cong. Math., Amsterdam, 1954. Vol. III, 515–520

    Google Scholar 

  • Un théorème de dualité. Comm. Math. Helv., 29, 9–26 (1955)

    CrossRef  MATH  Google Scholar 

  • Faisceaux algébriques cohérents. Ann. of Math., 61, 197–278 (1955) (cited FAC)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Géométrie algébrique et géométrie analytique. Ann. Inst. Fourier, 6, 1–42 (1955–56) (cited GAGA)

    CrossRef  MATH  Google Scholar 

  • Sur la topologie des variétés algébriques en charactéristique. Symposium on Algebraic Topology, Mexico, 1956, 24–53

    Google Scholar 

  • Sur la cohomologie des variétés algébriques. J. de Math. Pures et Appl., 36, 1–16 (1957)

    MATH  Google Scholar 

  • Prolongement de faisceaux analytiques cohérents. Ann. Inst. Fourier (Grenoble), 16, fasc. 1, 363–374 (1966)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Valeurs propres des endomorphismes de Frobenius. Sém. Bourbaki, No. 446, 1973/74

    Google Scholar 

  • Seydi, H.: Prolongement de faisceaux analytiques cohérents réflexifs. C.R. Acad. Sci. Paris, Sér. A-B, 278, 779–781 (1974)

    MathSciNet  MATH  Google Scholar 

  • Shauck, M.E.: Algebras of holomorphic functions in ringed spaces, I. Canad. J. Math. 21, 1281–1292 (1969)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Siu, Y.T.: Non-countable dimensions of cohomology groups of analytic sheaves and domains of holomorphy. Math. Zeit., 102, 17–29 (1967)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Extending coherent analytic sheaves. Ann. Math., 90, 108–143 (1969)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Sheaf cohomology with bounds and bounded holomorphic functions. Proc. Amer. Math. Soc., 21, 226–229 (1969)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Analytic sheaf cohomology with compact supports. Composito Math., 21, 52–58 (1969)

    MathSciNet  Google Scholar 

  • Analytic sheaf cohomology groups of dimension n of n-dimensional noncompact complex manifolds. Pacific J. Math., 28, 407–411 (1969)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Absolute gap-sheaves and extensions of coherent analytic sheaves. Trans. Amer. Math. Soc., 141, 361–376 (1969)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Analytic sheaf cohomology groups of dimension n of n-dimensional complex spaces. Trans. Amer. Math. Soc., 143, 77–94 (1969)

    MathSciNet  MATH  Google Scholar 

  • Analytic sheaves of local cohomology. Trans. Amer. Math. Soc., 148, 347–366 (1970)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Grauert's direct image theorem. Ann. d. Sc. Norm. Sup. Pisa (3), 24, I. 279–330; II. 439–490 (1970)

    MathSciNet  MATH  Google Scholar 

  • An Osgood type extension theorem for coherent analytic sheaves. In Proc. Conf. Several Complex Variables, Maryland, 1970. LNM 185, 189–241. Springer-Verlag, 1971

    MathSciNet  MATH  Google Scholar 

  • The 1-convex generalization of Grauert's direct image theorem. Math. Ann., 190, 203–214 (1970/71)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Dimensions of sheaf cohomology groups under holomorphic deformation. Math. Ann., 192, 203–215 (1971)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Gap sheaves and extensions of coherent analytic subsheaves. LNM 172. Springer-Verlag, 1971

    Google Scholar 

  • A Hartogs type extension theorem for coherent analytic sheaves. Ann. Math., 93, 166–188 (1971)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Techniques of extension of analytic objects. Lecture Notes in Pure and Applied Math., Vol. 8, Marcel Dekker, 1974

    Google Scholar 

  • Siu, Y.T., Trautmann, G.: Extension of coherent analytic sheaves. Math. Ann., 188, 128–142 (1970)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Closedness of coboundary modules of analytic sheaves. Trans. Amer. Math. Soc., 152, 649–658 (1970)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Sorani, G.: An introduction to real and complex manifolds. Gordon and Breach, 1969

    Google Scholar 

  • Spallek, K.: Einige Untersuchungen über analytische Modulgarben. Math. Ann., 153, 428–441 (1964)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Spencer, D.C.: Cohomology and the Riemann-Roch theorem. Proc. Nat. Acad. Sci. U.S.A., 39, 660–669 (1953)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Potential theory and almost-complex manifolds. Lectures on functions of a complex variable. Ed. W. Kaplan. Univ. of Michigan Press, 1955. 15–43

    Google Scholar 

  • A spectral resolution of complex structure. Symp. Int. Top. Alg., Mexico, 1956, 68–76. UNESCO, 1958

    Google Scholar 

  • Some remarks on perturbations of structure. In Analytic Functions. Princeton University Press, 1960, 67–87

    Google Scholar 

  • On deformation of pseudogroup structures. In Global Analysis. Papers in honor of K. Kodaira, 367–395. Univ. of Tokyo Press and Princeton Univ. Press, 1969

    Google Scholar 

  • Stehle, J.-L.: Faisceaux F-quasicohérents en géométrie analytique. Un cas particulier de faisceau F-quasicohérent avec nullité des Tor. Sém. Lelong, No. 4 (1974/75). LNM 524, 30–66. Springer-Verlag 1976

    MathSciNet  Google Scholar 

  • Stein, K.: Topologische Bedingungen fur die Existenz analytischer Funktionen komplexer Veränderlichen zu vorgegebenen Nullstellenflächen. Math. Ann., 117, 727–757 (1941)

    MathSciNet  MATH  Google Scholar 

  • Analytische Funktionen mehrerer komplexer Veränderlichen zu vorgegebenen Periodizitätsmoduln und das zweite cousinsche Problem. Math. Ann., 123, 201–222 (1951)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Analytische Zerlegungen komplexer Räume. Math. Ann., 132, 63–93 (1956)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Sundararaman, D.: Deformations and classifications of compact complex manifolds. In Complex Analysis and its Applications, Trieste, 1975. Int. Atomic Energy Agency, Vienna, 1976. Vol. III, 133–180

    MathSciNet  MATH  Google Scholar 

  • Suominen, K.: Duality for coherent sheaves on analytic manifolds. Ann. Acad. Sci. Fenn., Ser. A, I, No. 424 (1968)

    Google Scholar 

  • Localization of sheaves and Cousin complexes. Acta Math., 131, 27–41 (1973)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Thimm, W.: Lückengarben von kohärenten analytischen Modulgarben. Math. Ann., 148, 372–394 (1962)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Über starke und schwache Holomorphie auf analytischen Mengen (Führeridealgarbe und adjungierte Idealgarbe). Math. Zeit., 75, 426–448 (1960/61)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Struktur-und Singularitätsuntersuchungen an kohärenten analytischen Modulgarben. J. Reine Angew. Math., 234, 123–151 (1969)

    MathSciNet  MATH  Google Scholar 

  • Fortsetzung von kohärenten analytischen Modulgarben. Math. Ann., 184, 229–353 (1969/70)

    MathSciNet  MATH  Google Scholar 

  • Extensions of coherent analytic subsheaves. In Several Complex Variables, I, Maryland 1970. LNM 155, 191–202. Springer-Verlag 1970

    MathSciNet  MATH  Google Scholar 

  • Tougeron, J.-C.: Faisceaux différentiables quasi-flasques. C.R. Acad. Sci., Paris, 260, 2971–2973 (1965)

    MathSciNet  MATH  Google Scholar 

  • Trautmann, G.: Ein Kontinuitätsatz fur die Fortsetzung kohärenter analytischer Garben. Arch. Math., 19, 188–196 (1967)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Eine Bemerkung zur Struktur der kohärenten analytischen Garben. Arch. Math., 19, 300–304 (1968)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Abgeschlossenheit von Corandmoduln und Fortsetzbarkeit kohärenter analytischer Garben. Invent. Math., 5, 216–230 (1968)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Ein Endlichkeitssatz in der analytischen Geometrie. Invent. Math., 8, 143–174 (1969)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Deformations of coherent analytic sheaves with finite singularities. Sém. Lelong, No. 1, 1974/75. LNM 524, 1–20. Springer-Verlag 1976

    MathSciNet  MATH  Google Scholar 

  • Deformations of coherent analytic sheaves with isolated singularities. Several Complex Variables, Williams College, 1975. Proc. Symp. in Pure Math., Amer. Math. Soc., vol. 30, pt. 1, 85–89 (1977)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Deformation von isolierten Singularitäten kohärenter analytischer Garben I. Math. Ann., 223, 71–89 (1976)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Wahl, J.M.: Local cohomology groups for resolution of singularities. Several Complex Variables, Williams College, 1975. Proc. Symp. in Pure Math., Amer. Math. Soc., vol. 30, pt. 1, 91–94 (1977)

    CrossRef  MathSciNet  Google Scholar 

  • Weierstrass, K.: Mathematische Werke. Berlin 1894, Vols. I–VII

    Google Scholar 

  • Wells, R.O.: Differential Analysis on Complex Manifolds. Prentice Hall 1973

    Google Scholar 

  • Wiegmann, K.-W., Wolffhardt, K.: Komplexe Unterstrukturen mit einem festen Punkt als Träger. Manuscripta Math., 5, 385–394 (1971)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Whitney, H.: Complex Analytic Varieties. Addison-Wesley, 1972

    Google Scholar 

Bibliography on Sheaves and Algebraic Geometry

  • Abellanas, P.: Sheaves on the total spectrum of a ring. In Simposio internazionale di geometria algebrica, Roma, 1965. Ed. Cremonese, Rome, 1967. Also, Rend. Mat. e Appl. (5), 25, 72–76 (1966)

    MathSciNet  MATH  Google Scholar 

  • Altman, A., Kleiman, S.: Introduction to Grothendieck Duality Theory. LNM 146, Springer-Verlag 1970

    Google Scholar 

  • Artin, M.: Grothendieck topologies. Harvard University 1972

    Google Scholar 

  • Some numerical criteria for contractibility of curves on an algebraic surface. Amer. J. Math., 84, 485–496 (1962)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • The etale topology of schemes. Proc. Int. Cong. Moscow (1966), 44–56

    Google Scholar 

  • Algebraic Spaces. The Whittmore lectures, Yale University, 1969

    Google Scholar 

  • Applications of category theory to algebraic geometry. Bowdoin College, 1969 (mimeographed)

    Google Scholar 

  • Algebraization of formal moduli. I. Global Analysis (Papers in honor of K. Kodaira), 21–71. Univ. of Tokyo Press 1969. II. Ann. Math., 91, 88–135 (1970)

    CrossRef  MathSciNet  Google Scholar 

  • Construction techniques for algebraic spaces. Actes, congrès intern. math., Nice, 1970, tome 1, 419–423

    Google Scholar 

  • Théorèmes de représentabilité pour les espaces algébriques. Univ. de Montréal 1972

    Google Scholar 

  • Versal deformations and algebraic stacks. Invent. Math., 27, 165–189 (1974)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Artin, M., Grothendieck, A., Verdier, J.-L.: Théorie des topos et Cohomologie Etalé des Schémas: SGA4. LNM 269, 270, and 305. Springer-Verlag 1972/73

    Google Scholar 

  • Artin, M., Mazur, B.: Etale Homotopy. LNM 100. Springer-Verlag 1969

    Google Scholar 

  • Baldassarri, M.: Algebraic Varieties. Ergebnisse der Mathematik und ihrer Grenzgebiete, Neue Folge, Heft 12. Springer-Verlag 1956

    Google Scholar 

  • Baum, P., Fulton, W., MacPherson, R.: Riemann-Roch for singular varieties. Publ. Math. Inst. Hautes Etudes Sci., 45, 101–146 (1975)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Baum, P., Fulton, W., Quart, G.: Lefschetz-Riemann-Roch for singular varieties.

    Google Scholar 

  • Riemann-Roch and topological K-theory for singular varieties. Aarhus Univ. Preprint Series 1976–77, No. 41 and 42. July 1977

    Google Scholar 

  • Berthelot, P.: Cohomologie Cristalline des Schémas de Caractéristique p > 0. SGA8 (?). LNM 407. Springer-Verlag 1974

    Google Scholar 

  • Berthelot, P., Grothendieck, A., Illusie, L.: Théorie des Intersections et Théorème de Riemann-Roch. Séminaire de Géométrie Algébrique du Bois Marie, 1966/67, SGA6. LNM 225. Springer-Verlag 1977

    Google Scholar 

  • Boutot, J.-F.: Frobenius et cohomologie locale (d'après R. Hartshorne et R. Speiser, M. Hochster et J.L. Roberts, C. Peskine et L. Szpiro). Sém. Bourbaki, No. 453. LNM 514. Springer-Verlag 1976

    Google Scholar 

  • Schéma de Picard local. LNM 632. Springer-Verlag 1978

    Google Scholar 

  • Breen, L.S.: On a nontrivial higher extension of representable abelian sheaves. Bull. Amer. Math. Soc., 75, 1249–1253 (1969)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Extensions of abelian sheaves and Eilenberg-macLane algebras. Invent. Math., 9, 15–44 (1969/70)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Un théorème d'annulation pour certains Exti de faisceaux abeliens. Ann. Sci. Ecole Norm. Sup. (4), 8, 339–352 (1975)

    MathSciNet  MATH  Google Scholar 

  • Deligne, P.: Cohomologie Etale, SGA 4 1/2. LNM 569. Springer-Verlag 1977

    Google Scholar 

  • Deligne, P., Katz, N.: Groupes de Monodromie en Géométrie Algébrique, SGA7 II. LNM 340. Springer-Verlag 1973

    Google Scholar 

  • Deligne, P., Mumford, D.: The irreducibility of the space of curves of given genus. Inst. Hautes Etudes Sci. Publ. Math., 36, 75–109 (1969)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Demazure, M., Grothendieck, A.: Schémas en Groupes, SGA3. LNM 151, 152, 153. Springer-Verlag, 1970

    Google Scholar 

  • Dieudonné, J.: Fondaments de la géométrie algébrique moderne. Univ. de Montréal (mimeographed notes) 1962. Reprinted in Advances in Math., 3, 322–413 (1969)

    Google Scholar 

  • Algebraic Geometry. University of Maryland (mimeographed notes) 1962. Reprinted in Advances in Math., 3, 233–321 (1969)

    Google Scholar 

  • Dobbs, D.E.: Čech cohomological dimensions for commutative rings. LNM 147, Springer-Verlag 1970

    Google Scholar 

  • Dolgachev, I.V.: Abstract algebraic geometry. J. Soviet Math., 2, 264–303 (1974)

    CrossRef  MATH  Google Scholar 

  • Gabriel, P., Demazure, M.: Groupes Algébriques. North Holland Publishing Co., 1970

    Google Scholar 

  • Galbura, Gh.: Le faisceau jacobien d'un système de faisceaux invertibles. Rev. Roumaine Math. Pures Appl., 14, 785–792 (1969)

    MathSciNet  MATH  Google Scholar 

  • Giraud, J.: Méthode de la descente. Mémoires Soc. Math. France, 2 (1964)

    Google Scholar 

  • Analysis situs. Séminaire Bourbaki, No. 256, 1963. Reprinted in Dix exposés sur la cohomologie des schémas. North Holland, 1968, 1–11.

    Google Scholar 

  • Cohomologie Non Abélienne. Grundlehren der mathematischen Wissenschaften, 179. Springer-Verlag 1971

    Google Scholar 

  • Classifying toposes. In Toposes, Algebraic Geometry and Logic. LNM 274, 43–56. Springer-Verlag, 1972

    MathSciNet  Google Scholar 

  • Goblot, R.: Catégories modulaires commutatives qui sont des catégories de faisceaux quasi-cohérent sur un schéma. C.R. Acad. Sci. Paris, Sér. A, 268, 92–95 (1969)

    MathSciNet  MATH  Google Scholar 

  • Grothendieck, A.: A general theory of fibre spaces with structure sheaf. Research Report, University of Kansas, 1955

    Google Scholar 

  • Sur le mémoire de A. Weil: Généralisation des fonctions abéliennes. Sém. Bourbaki, No. 141, 1956

    Google Scholar 

  • Théorèmes de finitude pour la cohomologie des faisceaux. Bull. Soc. Math. France, 84, 1–7 (1956)

    MathSciNet  MATH  Google Scholar 

  • Théorèmes de dualité pour les faisceaux algébriques cohérents. Sém. Bourbaki, No. 149 (1957)

    Google Scholar 

  • Sur quelques points d'algèbre homologique. Tohoku Math. J., 9, 119–221 (1957)

    MathSciNet  MATH  Google Scholar 

  • Sur les faisceaux algébriques et les faisceaux analytiques cohérents. Sém. Cartan, 1956/57

    Google Scholar 

  • The cohomology theory of abstract algebraic varieties. Proc. Int. Cong. Math., 1958, 103–118

    Google Scholar 

  • Séminaire géométrie algébrique, 1960/63. I.H.E.S. (mimeographed)

    Google Scholar 

  • Technique de descente et théorèmes d'existence en géométrie algébrique, I. Sém. Bourbaki, No. 190, 1959/60

    Google Scholar 

  • Technique de construction en géométrie analytique, I–X. Exp. 7–17, Sém. Cartan, No. 13, 1960/61

    Google Scholar 

  • Fondaments de la géométrie algébrique. Extraits du Séminaire Bourbaki, 1957–62. Paris Secrétariat Mathématique, 1962

    Google Scholar 

  • On the De Rham cohomology of algebraic varieties. Publ. Math. I.H.E.S., No. 29, 95–103 (1966)

    Google Scholar 

  • Le groupe de Brauer, I. Sém. Bourbaki, No. 290, 1964/65; II. Sém. Bourbaki, No. 297, 1965/66; III. I.H.E.S., 1966. Reprinted in Dix exposés sur la cohomologie des schémas, 46–188. North Holland, 1968

    Google Scholar 

  • Formule de Lefschetz et rationalité des fonctions L. Sém. Bourbaki, No. 279, 1964/65. Reprinted in Dix exposés sur la cohomologie des schémas, 31–45. North Holland, 1968

    Google Scholar 

  • Classes de Chern et représentations linéaires des groupes discrets. I.H.E.S., 1966. Reprinted in Dix exposés sur la cohomologie des schémas, 215–305. North Holland, 1968

    Google Scholar 

  • Crystals and the De Rham cohomology of schemes. I.H.E.S., 1966. Reprinted in Dix exposés sur la cohomologie des schémas, 306–358. North Holland, 1968

    Google Scholar 

  • Catégories cofibrées additives et complexe cotangent relatif. LNM 79. Springer-Verlag 1968

    Google Scholar 

  • Revêtements étalés et groupe fondamental: SGA1. LNM 224. Springer-Verlag 1971

    Google Scholar 

  • Cohomologie locale des faisceaux cohérents et théorèmes de Lefschetz locaux et globaux: SGA2. Completely revised and edited version of the "Séminaire de Géométrie Algébrique du Bois-Marie, 1962". North Holland, 1969

    Google Scholar 

  • Groupes de monodromie en géométrie algébrique: SGA7. LNM 288. Springer-Verlag, 1972–73

    Google Scholar 

  • Grothendieck, A., Dieudonné, J.: Eléments de géométrie algébrique. Publ. Math., I.H.E.S., Nos. 4, 8, 11, 17, 20, 24, 28, 32, 1960/67. Cited EGA

    Google Scholar 

  • Hacque, M.: Localisations et schémas affines. Publ. Dép. Math., Lyon, 7, fasc. 2, 1–114 (1970)

    MathSciNet  MATH  Google Scholar 

  • Hakim, M.: Topos annelés et schémas relatifs. Ergebnisse der Math. und ihrer Grenzgebiete, Band 64, Springer-Verlag, 1972

    Google Scholar 

  • Hartshorne, R.: Residues and duality. LNM 20. Springer-Verlag, 1966

    Google Scholar 

  • Local cohomology, a seminar given by A. Grothendieck, Harvard University, 1961. LNM 41. Springer-Verlag, 1967

    Google Scholar 

  • Derived categories in algebraic geometry. Bowdoin College, 1969 (mimeographed)

    Google Scholar 

  • Algebraic De Rham cohomology. Manuscripta Math., 7, 125–140 (1972)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Cohomology with compact supports for coherent sheaves on an algebraic variety. Math. Ann., 195, 199–207 (1972)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Algebraic Geometry. Graduate Texts in Mathematics, No. 52. Springer-Verlag 1977

    Google Scholar 

  • Hoobler, R.T.: Non-abelian sheaf cohomology by derived functors. In Category Theory, Homology Theory and their Applications, III. LNM 99, 313–364. Springer-Verlag, 1969

    MathSciNet  MATH  Google Scholar 

  • Horrocks, G.: A construction for locally free sheaves. Topology, 7, 117–120 (1968)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Sheaves on projective space invariant under the unitriangular group. Invent. Math., 10, 108–118 (1970)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Houzel, C.: Géométrie analytique locale, I–IV. Sém. Cartan, No. 13, Exp. 18–21, 1960/61

    Google Scholar 

  • Illusie, L.: Complexe cotangent et déformations. LNM 239. Springer-Verlag, 1971

    Google Scholar 

  • Cotangent complex and deformations of torsors and group schemes. In Toposes, Algebraic Geometry and Logic. LNM 274. Springer-Verlag 1972

    Google Scholar 

  • Complexe cotangent et déformations, II. LNM 283. Springer-Verlag, 1972

    Google Scholar 

  • Cohomologie cristalline (d'après P. Berthelot). Sém. Bourbaki, No. 456. LNM 514. Springer-Verlag 1976

    Google Scholar 

  • Cohomologie ℓ-adique et Fonctions L: SGA5. LNM 589. Springer-Verlag 1977

    Google Scholar 

  • Iwasawa, K.: Sheaves for algebraic number fields. Ann. Math., 69, 408–413 (1959)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Jouanolou, J.-P.: Riemann-Roch sans dénominateurs. Invent. Math., 11, 15–26 (1970)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Comparison des K-théories algébriques et topologiques de quelques variétés algébriques. Strasbourg, 1971. Resumé in C.R. Acad. Sci. Paris, 272, 1373–1375 (1971)

    MathSciNet  MATH  Google Scholar 

  • Cohomologie de quelques schémas classiques et théorie cohomologique des classes de Chern: SGA5. Exp. VII (mimeographed). I.H.E.S.

    Google Scholar 

  • Kahler, E.: Algebra und Differentialrechnung. Berichte Math. Tagung, Berlin, 1953, 58–163

    Google Scholar 

  • Geometria arithmetica. Ann. Mat. Pura Appl. (4), 45, 1–399 (1958)

    CrossRef  MathSciNet  Google Scholar 

  • Katz, N.M.: Algebraic solutions of differential equations (p-curvature and the Hodge filtration). Invent. Math., 18, 1–118 (1972)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Kleiman, S.: Toward a numerical theory of ampleness. Ann. of Math., 84, 293–344 (1966)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Knutson, D.: Algebraic spaces. LNM 203. Springer-Verlag, 1971

    Google Scholar 

  • Kubota, K.: Ample sheaves. J. Fac. Sci. Univ. Tokyo, Sect. I A, Math., 17, 421–430 (1970)

    MathSciNet  MATH  Google Scholar 

  • Kunz, E.: Holomorphe Differentialformen auf algebraischen Varietäten mit Singularitäten, I. Manuscripta Math., 15, 91–108 (1975)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Lejeune-Jalabert, M., Teissier, B.: Normal cones and sheaves of relative jets. Composito Math., 28, 305–331 (1974)

    MathSciNet  MATH  Google Scholar 

  • Lichtenbaum, S.: Values of zeta functions, étale cohomology, and algebraic K-theory. In Algebraic K-theory, II. LNM 342. Springer-Verlag 1973

    Google Scholar 

  • Lichtenbaum, S., Schlessinger, M.: The contangent complex of a morphism. Trans. Amer. Math. Soc., 128, 41–70 (1967)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Lubkin, S.: On a conjecture of André Weil. Amer. J. Math., 89, 443–548 (1967)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • A p-adic proof of Weil's conjectures. Ann. Math., 87, 105–255 (1968)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Macdonald, I.G.: Algebraic Geometry. Benjamin, 1968

    Google Scholar 

  • Manin, Ju.I.: Lectures on algebraic geometry, 1966–68. (Russian). Moscov. Gosudarstv. Univ. Moscow, 1968

    Google Scholar 

  • Lectures on the K-functor in algebraic geometry. Russ. Math. Surveys, 24, 1–90 (1969)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Martin-Deschamps, M.: Etude des extensions d'un faisceau ample par le faisceau trivial sur un schéma de type fini sur un corps. C.R. Acad. Sci., Paris, Sér. A-B, 281, A35–A37 (1975)

    MathSciNet  MATH  Google Scholar 

  • Mazur, B.: Frobenius and the Hodge filtration. Bull. Amer. Math. Soc., 98, 653–667 (1972)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Frobenius and the Hodge filtration (estimates). Ann. Math., 98, 58–95 (1973)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Eigenvalues of Frobenius acting on algebraic varieties over finite fields in algebraic geometry. Arcata, 1974. Proc. Symp. in Pure Math., Vol. 29, Amer. Math. Soc., 1975, 231–261

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Meredith, D.: Weak formal schemes. Nagoya Math. J., 45, 1–38 (1971)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Miyanishi, M.: Introduction à la théorie des sites et son application à la construction des préschémas quotients. Sém. de Math. Sup. (Eté 1970), Univ. de Montréal, 1971

    Google Scholar 

  • Monsky, P., Washnitzer, G.: The construction of formal cohomology sheaves. Proc. Nat. Acad. Sci. U.S.A., 52, 1511–1514 (1964)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Mumford, D.: Picard groups of moduli problems. In Arithmetical algebraic geometry, (Ed. Schilling, O.F.G.). Harper and Row, New York, 1965, 33–81

    Google Scholar 

  • Lectures on Curves on an Algebraic Surface. Ann. Math. Studies, No. 59. Princeton Univ. Press, 1966

    Google Scholar 

  • Algebraic Geometry, I: complex projective varieties. Springer-Verlag 1976

    Google Scholar 

  • Murre, J.P.: On contravariant functors from the category of preschemes over a field into the category of abelian groups. Pub. Math., I.H.E.S., No. 23, 1974

    Google Scholar 

  • Representation of unramified functors, applications. Sem. Bourbaki, No. 294, 1964/65

    Google Scholar 

  • Nastold, H.-J.: Zur Cohomologietheorie in der algebraischen Geometrie, I, II. Math. Zeit., 77, 359–390 (1961); 78, 375–405 (1962)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Nielsen, H.A.: Diagonalizably linearized coherent sheaves. Bull. Soc. Math. France, 102, 85–97 (1974)

    MathSciNet  MATH  Google Scholar 

  • Piene, R.: Faisceaux plats et purs sur la base: Un théorème de finitude. C.R. Acad. Sci. Paris, Sér. A-B, 274, A194–A197 (1972)

    MathSciNet  MATH  Google Scholar 

  • Popescu, N. La localisation pour les sites. Rev. Roumaine Math. Pures Appl., 10, 1031–1044 (1965)

    MathSciNet  MATH  Google Scholar 

  • Elements of the theory of sheaves, I, II, III, IV, V and VI. (Roumanian). Stud. Cerc. Math., 18, 267–296, 407–456, 547–583, 645–669, 945–991 (1966); 19, 205–240 (1967)

    Google Scholar 

  • Popescu, N., Radu, A.: Morphismes et co-morphismes des topos abéliens. Bull. Math. Soc. Sci. Math. R.S. Roumanie, 10, 319–328 (1966)

    MathSciNet  MATH  Google Scholar 

  • Raynaud, M.: Caractéristique d'Euler-Poincaré d'un faisceau et cohomologie des variétés abéliennes (d'après Ogg-Shafarévitch et Grothendieck). Sém. Bourbaki, No. 286, 1964/65. Reprinted in Dix exposés sur la cohomologie des schémas, 12–30 North Holland 1968

    Google Scholar 

  • Théorèmes de Lefschetz pour les faisceaux cohérents. C.R. Acad. Sci., Paris, Sér. A-B, 270, A710–A713 (1970)

    MathSciNet  MATH  Google Scholar 

  • Faisceaux amples sur les schémas en groupes et les espaces homogènes. LNM 119. Springer-Verlag, 1970

    Google Scholar 

  • Théorèmes de Lefschetz en cohomologie cohérente et en cohomologie étalé. Bull. Soc. Math. France, Mémoire 41, 1975

    Google Scholar 

  • Sampson, J.H., Washnitzer, G.: A Vietoris mapping theorem for algebraic projective fibre bundles. Ann. Math. 68, 348–371 (1958)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • A Kunneth formula for coherent algebraic sheaves. Ill. J. Math., 3, 389–402 (1959)

    MathSciNet  MATH  Google Scholar 

  • Cohomology of monoidal transforms. Ann. Math., 69, 605–629 (1959)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Numerical equivalence and the zeta function of a variety. Amer. J. Math., 81, 735–748 (1959)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Schlessinger, M.: Functors of Artin rings. Trans. Amer. Math. Soc., 130, 205–222 (1968)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Shafarevitch, I.R.: Basic Algebraic Geometry. Die Grundlehren der mathematischen Wissenschaften, Band 213, Springer Verlag, 1974

    Google Scholar 

  • Shatz, S.S.: Cohomology of artinian group schemes over local fields. Ann. Math., 79, 411–449 (1964)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Grothendieck topologies over complete local rings. Bull. Amer. Math. Soc., 72, 303–306 (1966)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • The cohomological dimension of certain Grothendieck topologies. Ann. Math., 83, 572–595 (1966)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • The structure of the category of sheaves in the flat topology over certain local rings. Amer. J. Math., 90, 1346–1354 (1968)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Snapper, E.: Cohomology groups and the genera of higher-dimensional fields. Mem. Amer. Math. Soc., 28 (1957)

    Google Scholar 

  • Cohomology theory and algebraic correspondence. Mem. Amer. Math. Soc., 33 (1959)

    Google Scholar 

  • Stehlé, J.-L.: Cohomologie locale sur les intersections complètes et faisceaux F-quasicohérents. C.R. Acad. Sci. Paris, Sér. A-B, 280, A361–A364 (1975)-

    MATH  Google Scholar 

  • Faisceaux F-quasicohérents définis par échelles et résolutions. C.R. Acad. Sci. Paris, Sér. A-B, 282, A1437–A1440 (1976)

    MATH  Google Scholar 

  • Szpiro, L.: Cohomologie des ouverts de l'espace projectif sur un corps de caractéristique zero (d'après A. Ogus). Sém. Bourbaki, No. 458. LNM 514. Springer-Verlag 1976

    Google Scholar 

  • Takahashi, S.: Géométrie diophantienne. Presses de l'Université de Montréal, 1975

    Google Scholar 

  • Teger, R.B.: Quasicoherent sheaves. (Russian). Uspeki Mat. Nauk, 28, 245–246 (1973)

    MathSciNet  Google Scholar 

  • Verdier, J.-L.: A duality theorem in the étalé cohomology of schemes. In Proc. Conf. Local Fields (Driebergen, 1966), 184–198. Springer-Verlag 1967

    Google Scholar 

  • Base change for twisted inverse images of coherent sheaves. In Algebraic Geometry (Int. Colloq., Tata Inst. Fund. Res., Bombay 1968), 393–408. Oxford Univ. Press, 1969

    Google Scholar 

  • Topologie sur les espaces de cohomologie d'un complexe de faisceaux analytiques à cohomologie cohérente. Bull. Soc. Math. France, 99, 337–433 (1971)

    MathSciNet  MATH  Google Scholar 

  • Le théorème de Riemann-Roch pour les variétés algébriques éventuellement singulières (d'après P. Baum, W. Fulton et R. MacPherson). Sém. Bourbaki, No. 464. LNM 514. Springer-Verlag 1976

    Google Scholar 

  • Verra, A.: Moduli iniettivi e fasci flasques su uno schema affine. Rend. Sem. Mat. Univ. e Politec. Torino, 33, 131–141 (1974/75)

    MathSciNet  MATH  Google Scholar 

  • Voight, D.: Induzierte Darstellungen in der Theorie der endlichen algebraischen Gruppen. LNM 592. Springer-Verlag 1977

    Google Scholar 

  • Voskresenskii, V.E.: Sheaves of local units of algebraic groups. (Russian). In Certain problems in the theory of fields, 16–31. Izdat. Saratov. Univ., Saratov 1964

    Google Scholar 

  • Washnitzer, G.: Geometric syzygies. Amer. J. Math., 81, 171–248 (1959)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Zariski, O.: Algebraic sheaf theory: Scientific report on the second summer institute. Bull. Amer. Math. Soc., 62, 117–141 (1956)

    CrossRef  MathSciNet  MATH  Google Scholar 

Bibliography on Sheaves and Differential Equations

  • Andreotti, A., Nacinovich, M.: Some remarks on formal Poincaré lemma. In Complex Analysis and Algebraic Geometry (A collection of papers dedicated to K. Kodaira: Ed. Bailey, W.L., Jr., Shioda, T.), 295–305. Cambridge Univ. Press, 1977

    Google Scholar 

  • Aragnol, A.: Théorie des connections. C.R. Acad. Sci. Paris, 244, 437–440 (1957)

    MathSciNet  MATH  Google Scholar 

  • Bauer, H.: Une axiomatique du problème de Dirichlet pour certaines équations elliptiques et paraboliques. C.R. Acad. Sci. Paris, 250, 2672–2674 (1960)

    MathSciNet  MATH  Google Scholar 

  • Axiomatische Behandlung des Dirichletschen Problems für elliptische und parabolische Differentialgleichungen. Math. Ann., 146, 1–59 (1962)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Berger, R., Kiehl, R., Kunz, E., Nastold, H.-J.: Differentialrechnung in der analytischen Geometrie. LNM 38. Springer-Verlag 1967

    Google Scholar 

  • Blickensdörfer, A.: Zur Definition von Hyperfunktionen. Manuscripta Math., 22, 105–130 (1977)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Boboc, N., Constantinescu, C., Cornea, A.: On the Dirichlet problem in the axiomatic theory of harmonic functions. Nagoya Math. J., 23, 73–96 (1963)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Axiomatic theory of harmonic functions. Ann. Inst. Fourier, 15. I. 283–312; II. 37–70 (1965)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Bony, J.-M.: Hyperfonctions et équations aux dérivées partielles. Lecture Notes Nos. 181-76.52. Université Paris XI, 1974–75

    Google Scholar 

  • Bony, J.-M., Schapira, P.: Existence et prolongement des solutions holomorphes des équations aux dérivées partielles. Invent. Math., 17, 95–105 (1972)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Propagation des singularités analytiques pour les solutions des équations aux dérivées partielles. Ann. Inst. Fourier, 81–140 (1976)

    Google Scholar 

  • Bott, R.: Homogeneous vector bundles. Ann. Math., 66, 203–248 (1957)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Notes on the Spencer resolution. Harvard University, 1963 (mimeographed)

    Google Scholar 

  • Buttin, C.: Existence of a homotopy operator for Spencer's sequence in the analytic case. Pac. J. Math., 21, 219–240 (1967)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Carroll, R.W.: Abstract Methods in Partial Differential Equations. Harper and Row, New York, 1969

    MATH  Google Scholar 

  • Cenkl, B.: Vanishing theorem for an elliptic differential operator. J. Diff. Geom., 1, 381–418 (1976)

    MathSciNet  MATH  Google Scholar 

  • Cerezo, A., Chazarain, J., Piriou, A.: Introduction aux hyperfonctions. In Hyperfunctions and Theoretical Physics. LNM 449. Springer-Verlag, 1975, 1–53

    Google Scholar 

  • Constantinescu, C., Cornea, A.: Potential theory on harmonic spaces. Springer-Verlag 1972

    Google Scholar 

  • Eells, J.: Elliptic operators on manifolds. In Complex Analysis and its Applications, Trieste, 1975, Vol. I, 95–152. Int. Atomic Energy Agency, Vienna, 1976

    Google Scholar 

  • Ehrenpreis, L.: Sheaves and differential equations. Proc. Amer. Math. Soc., 7, 1131–1138 (1956)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Ehrenpreis, L., Guillemin, V., Sternberg, S.: On Spencer's estimate for δ-Poincaré. Annals Math., 82, 128–138 (1965)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Feyel, D., LaPradelle, A. de: Principe du minimum et préfaisceaux maximaux. Ann. Inst. Fourier, 24, 1–121 (1974)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Faisceaux d'espaces de Sobolev et principes du minimum. Ann. Inst. Fourier, 25, 127–149 (1975)

    CrossRef  MATH  Google Scholar 

  • Faisceaux maximaux de fonctions associées à un operateur elliptique de second ordre. Ann. Inst. Fourier, 26, 257–274 (1976)

    CrossRef  MATH  Google Scholar 

  • Goldschmidt, H.: Existence theorems for analytic linear partial differential equations. Ann. Math., 86, 246–270 (1967)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Prolongations of linear partial differential equations, I, II. Ann. Sci. Ecole Norm. Sup. (4), 1, 417–444; 617–625 (1968)

    MathSciNet  MATH  Google Scholar 

  • Points singuliers d'un opérateur différentiel analytique. Invent. Math., 9, 165–174 (1969/70)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Formal theory of overdetermined linear partial differential equations. In Global Analysis (Proc. Symp. Pure Math., Vol. XVI, Berkeley, California, 1968), 187–194. Amer. Math. Soc., 1970

    Google Scholar 

  • Sur la structure des équations de Lie, I, II, III. J. Diff. Geom., 6, 357–373 (1972); 7, 67–95 (1972); 11, 167–223 (1976)

    MathSciNet  MATH  Google Scholar 

  • On the Spencer cohomology of a Lie equation. Partial Differential Equations (Proc. Symp. Pure Math., Vol. XXIII, Univ. California, Berkeley, 1971), 379–385. Amer. Math. Soc., 1973

    Google Scholar 

  • Prolongements d'équations différentielles, I, II, III. Ann. Sci. Ecole Norm. Sup. (4), 1, 417–444 (1968); 1, 617–625 (1968); 7, 5–27 (1974)

    MathSciNet  Google Scholar 

  • The integrability problem for Lie equations. Bull. Amer. Math. Soc., 84, 531–546 (1978)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Goldschmidt, H., Spencer, D.: On the non-linear cohomology of Lie equations, I, II. Acta Math., 136, 103–170; 171–239 (1976)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Submanifolds and overdetermined differential operators. In Complex Analysis and Algebraic Geometry (Ed. Bailey, W.T., Jr., Shioda, T.), 319–356. Cambridge Univ. Press, 1977

    Google Scholar 

  • Gorbatenko, E.M.: Germs of Pfaffian manifolds. (Russian). Geometry Collection, No. 13. Trudy Tomsk. Gos. Univ., 246, 9–19 (1973)

    MathSciNet  MATH  Google Scholar 

  • Gregor'ev, B.V.: Characteristic classes of principal G-bundles with coefficients in the sheaf of germs of differential forms. Functional Anal. Appl., 5, 125–135 (1971)

    CrossRef  MathSciNet  Google Scholar 

  • Guillemin, V., Sternberg, S.: Deformation theory of pseudogroup structures. Mem. Amer. Math. Soc., 64 (1966)

    Google Scholar 

  • Harvey, R.: Hyperfunctions and partial differential equations. Stanford Univ., Thesis, 1966

    Google Scholar 

  • The theory of hyperfunctions on totally real subsets of a complex manifold with applications to extension problems. Amer. J. Math., 91, 853–873 (1969)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Herrera, M.: Integration on a semi-analytic set. Bull. Soc. Math. France, 94, 141–180 (1966)

    MathSciNet  MATH  Google Scholar 

  • De Rham theorems on semi-analytic sets. Bull. Amer. Math. Soc., 73, 414–418 (1967)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Herrera, M., Lieberman, D.: Duality and the De Rham cohomology of Infinitesimal Neighbourhoods. Invent. Math., 13, 97–124 (1971)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Herve, R.-M.: Quelques propriétés du faisceau de fonctions harmoniques associé à un opérateur elliptique dégénéré. Ann. Inst. Fourier, 25, 245–262 (1975)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Johnson, J.: On Spencer's cohomology theory for linear partial differential operators. Trans. Amer. Math. Soc., 154, 137–149 (1971)

    MathSciNet  MATH  Google Scholar 

  • Some homological properties of Spencer's cohomology theory. J. Differential Geometry, 5, 341–351 (1971)

    MathSciNet  MATH  Google Scholar 

  • Kamber, F.W., Tondeur, P.: Invariant differential operators and the cohomology of Lie algebra sheaves. Mem. Amer. Math. Soc., 113, 1971

    Google Scholar 

  • Kantor, J.-M.: Hyperfonctions cohérents. Sém. Lelong, No. 8 (1968/69). LNM 116, 75–100. Springer-Verlag, 1970

    Google Scholar 

  • Introduction à la théorie des résidus. Sém. Lelong, No. 1, 1970. LNM 205, 1–9. Springer-Verlag 1971

    Google Scholar 

  • Le complexe de Dolbeault-Grothendieck sur les espaces analytiques. Sém. Lelong, No. 10 (1973/74). LNM 474, 142–154. Springer-Verlag, 1975

    Google Scholar 

  • Kantor, J.-M., Shapira, P.: Hyperfonctions associées aux faisceaux analytiques réels cohérents. An. Acad. Brasil. Ci., 43, 299–306 (1971)

    MathSciNet  MATH  Google Scholar 

  • Kashiwara, M.: Vanishing theorems on the cohomologies of solution sheaves of systems of pseudo-differential equations. Colloq. Intern. C.N.R.S. sur les Equations aux Dérivées Partielles Linéaires (Univ. Paris-Sud, Orsay, 1972), 222–228. Astérisque, 2 et 3. Soc. Math. France, Paris, 1973

    MATH  Google Scholar 

  • Micro-local calculus of simple microfunctions. In Complex Analysis and Algebraic Geometry (Ed. Bailey, W.T., Jr., Shioda, T.), 369–374. Cambridge Univ. Press, 1977

    Google Scholar 

  • Kashiwara, M., Kawai, T., Oshima, T.: Structure of cohomology groups whose coefficients are microfunction solution sheaves of systems of pseudo-differential equations with multiple characteristics, I, II. Proc. Japan Acad., 50, 420–425; 549–550 (1974)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Kashiwara, M., Kowata, A., Minemura, K., Okamoto, K., Oshima, T., Tanaka, M.: Eigenfunctions of invariant differential operators on a symmetric space. Annals of Math., 107, 1–39 (1978)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Kawai, T.: Pseudo-differential operators acting on the sheaf of microfunctions. In Hyperfunctions and Theoretical Physics. LNM 449, 54–69. springer-Verlag 1975

    Google Scholar 

  • Kohn, J.J.: Methods of partial differential equations in complex analysis. Proc. Symp. in Pure Math., 30, pt. 1, 215–237. Amer. Math. Soc., 1977

    CrossRef  MathSciNet  Google Scholar 

  • Komatsu, H.: Resolutions by hyperfunctions of sheaves of solutions of differential equations with constant coefficients. Math. Ann., 176, 77–86 (1968)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Cohomology of morphisms of sheafed spaces. J. Fac. Sci. Univ. Tokyo, Sect. I A Math., 18, 287–327 (1971)

    MathSciNet  MATH  Google Scholar 

  • An introduction to the theory of hyperfunctions. In Hyperfunctions and Pseudo-Differential Equations. LNM 287, 3–40. Springer-Verlag, 1973

    Google Scholar 

  • Ultradistributions and hyperfunctions. Ibid., 164–1779

    Google Scholar 

  • Hyperfunctions and near partial differential equations. Ibid., 180–191

    Google Scholar 

  • Relative cohomology of sheaves of solutions of differential equations. Ibid., 192–261

    Google Scholar 

  • Ultradistributions. I. Structure theorems and a characterization; II. The kernel theorem and ultradistributions with support in a submanifold. J. Fac. Sci. Univ. Tokyo, Sect. I A, 20, 25–105 (1973); 24, 607–628 (1977)

    MathSciNet  MATH  Google Scholar 

  • Konstant, B.: Graded manifolds, graded Lie theory, and prequantization. In Differential Geometric Methods in Mathematical Physics, Bonn, 1975. LNM 570. Springer-Verlag, 1977

    Google Scholar 

  • Kumpera, A., Spencer, D.C.: Lie equations. Vol. I: General theory. Ann. of Math. Studies, 73. Princeton University Press and Univ. of Tokyo Press, 1972

    Google Scholar 

  • Systems of linear partial differential equations and deformations of pseudogroup structures. Sém. Math. Sup., No. 41 (Eté 1969). Press. l'Univ. Montréal, 1974

    Google Scholar 

  • Libermann, P.: Pseudogroupes infinitésimaux. Faisceaux d'algèbres de Lie associés. C.R. Acad. Sci. Paris, 246, 40–53; 531–534; 1365–1368 (1958)

    MATH  Google Scholar 

  • Malgrange, B.: Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution. Annales Inst. Fourier, 6, 271–355 (1955–56)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Martineau, A.: Les hyperfonctions de M. Sato. Sém. Bourbaki, No. 214, 1960/61

    Google Scholar 

  • Michand, P.: Faisceaux principaux et plongements de variétés différentielles. C.R. Acad. Sci., Paris, Sér. A–B, 269, A443–A446 (1969)

    Google Scholar 

  • Morimoto, M.: Sur la decomposition du faisceau des germes de singularités d'hyperfonctions. J. Fac. Sci. Univ. of Tokyo, 17, 215–239 (1970)

    MathSciNet  MATH  Google Scholar 

  • La décomposition de singularités d'ultradistributions cohomologiques. Proc. Japan Acad., 48, 161–165 (1972)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Ngo van Que: Du prolongement des espaces fibrés et des structures infinitésimales. Ann. Inst. Fourier, 17, 157–223 (1967)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Non-abelian Spencer cohomology and deformation theory. J. Differ. Geom., 3, 165–211 (1969)

    MATH  Google Scholar 

  • Palamodov, V.P.: Linear differential operators with constant coefficients. Izd. Nauka, Moscow, 1967

    MATH  Google Scholar 

  • The index of a partial differential operator. Seventh Math. Summer School (Kaciveli, 1969), 191–202. Izdanie Mat. Akad. Nauk Ukrain SSR, Kiev, 1970

    Google Scholar 

  • Pommaret, J.P.: Theory of deformation of structures. In Differential Topology and Geometry, Dijon, 1974. LNM 484. Springer-Verlag, 1975

    Google Scholar 

  • Quillen, D.: Formal properties of over-determined systems of partial differential equations. Thesis, Harvard University, 1964

    Google Scholar 

  • Reiffen, H.-J., Vetter, U.: Pfaffsche Formen auf komplexen Räumen. Math. Ann., 167, 338–350 (1966)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Rohrl, H.: Das Riemann-Hilbertsche Problem der Theorie der linearen Differentialgleichungen. Math. Ann., 133, 1–25 (1957)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Sato, M.: Theory of hyperfunctions. J. Fac. Sci. Tokyo, Sect. 1, 8, 139–193; 398–437 (1959)

    MathSciNet  MATH  Google Scholar 

  • Hyperfunctions and partial differential equations. Proc. Int. Cong. on Functional Analysis, Tokyo, 1969

    Google Scholar 

  • Regularity of hyperfunction solutions of partial differential equations. Actes, Congrès intern. Math., Nice, 1970, Tome 2, 785–794

    Google Scholar 

  • Sato, M., Kawai, T., Kashiwara, M.: Microfunctions and pseudodifferential equations. In Hyperfunctions and Pseudo-Differential Equations. LNM 287, 265–529. Springer-Verlag, 1973

    Google Scholar 

  • Schapira, P.: Une équation aux dérivées partielles sous solutions dans l'espace des hyperfonctions. C.R. Acad. Sci. Paris, 265, 665–667 (1967)

    MathSciNet  MATH  Google Scholar 

  • Equations aux dérivées partielles dans l'espace des hyperfonctions. Sém. Lelong, No. 4, 1967/68

    Google Scholar 

  • Le faisceau C de M. Sato. Fonctions de Plusieurs Variables Complexes. LNM 409, 196–203. Springer-Verlag, 1970

    Google Scholar 

  • Théorie des hyperfonctions. LNM 126. Springer-Verlag, 1970

    Google Scholar 

  • Utilization des hyperfonctions dans les théorèmes de dualité de la géométrie analytique. Sém. Lelong, No. 12, 1969/70. LNM 205, 166–182. Springer-Verlag, 1971

    Google Scholar 

  • Construction de solutions élémentaires dans le faisceau C de M. Sato. Sém. Goulaouic-Schwartz, 1970/71

    Google Scholar 

  • With Bony: Solutions hyperfonctions du problème de Cauchy. In Hyperfunctions and Pseudo-Differential Equations. LNM 287. Springer-Verlag, 1971

    Google Scholar 

  • Schwartz, L.: Ecuaciones diferenciales elipticas. Univ. Nac. Columbia, Bogota, 1956

    Google Scholar 

  • Théorie des distributions, Tome 1. Hermann, Paris, 1950. (Third edition, 1966)

    MATH  Google Scholar 

  • Sernesi, E.: Some remarks on deformations of invertible sheaves. Boll. Un. Mat. Ital. (5), 13A, 168–174 (1976)

    MathSciNet  MATH  Google Scholar 

  • Silva, S.E.: Sur une construction axiomatique de la théorie des distributions. Revista Fac. Ciencias Lisboa, 2e ser. A, 4, 79–186 (1955)

    MATH  Google Scholar 

  • Singer, I., Sternberg, S.: The infinite groups of Lie and Cartan: I. The transitive groups. J. Analyse Math., 15, 1–114 (1965)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Smoke, W.: Invariant Differential Operators. Trans. Amer. Math. Soc., 127, 460–494 (1967)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Spencer, D.C.: Overdetermined systems of linear partial differential equations. Bull. Amer. Math. Soc., 75, 179–239 (1960)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Some remarks on homological analysis and structures. In Differential Geometry. Proc. Symp. in Pure Math., 3, 56–86. Amer. Math. Soc., 1961

    Google Scholar 

  • Deformation of structures on manifolds defined by transitive, continuous pseudogroups. Annals Math., 76, 306–445 (1962); 81, 389–450 (1965)

    CrossRef  MATH  Google Scholar 

  • De Rham theorems and Neumann decompositions associated with linear partial differential equations. Ann. Inst. Fourier, 14, 1–19 (1964)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Uncoupled overdetermined systems. In Global Analysis (Proc. Symp. Pure Math., Vol. XVI, Berkeley, 1968), 211–220. Amer. Math. Soc., 1970

    Google Scholar 

  • Construction of complexes for Lie equations. In Manifolds — Tokyo, 1973, 303–312. Univ. of Tokyo Press, 1975

    Google Scholar 

  • Sweeney, W.J.: The D-Neumann problem. Acta Math., 120, 223–277 (1968)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Vaisman, I.: Cohomology and Differential Forms. Marcel Dekker, Inc., New York, 1973

    MATH  Google Scholar 

  • Verley, J.-L.: Introduction à la théorie des hyperfonctions. Sém. Lelong, No. 5, 1966/67

    Google Scholar 

  • Warner, F.W.: Foundations of Differentiable Manifolds and Lie Groups. Scott, Foresman and Co., Glenview, Ill., 1971

    MATH  Google Scholar 

  • Yagyu, T.: On deformations of cross-sections of a differentiable fibre bundle. J. Math. Kyoto Univ., 2, 209–226 (1963)

    MathSciNet  MATH  Google Scholar 

Bibliography on Sheaves, Category Theory, and Topoi

  • Acuña-Ortega, O.: Finiteness in topoi. Dissertation, Wesleyan University, Middletown, Conn., 1977

    Google Scholar 

  • Acuña-Ortega, O., Linton, F.E.J.: Finiteness and decidability. Preprint. Wesleyan University, Middletown, Conn., 1977

    MATH  Google Scholar 

  • Alexandru, R.: Objects of finite presentation in the category of abelian presheaves. (Romanian). Stud. Cerc. Mat., 19, 1449–1453 (1967)

    MathSciNet  Google Scholar 

  • Sur les topos de Giraud-Grothendieck. Ann. Fac. Sci. Kinshasa, Sect. Math. Phys., 2, 108–118 (1976)

    MathSciNet  MATH  Google Scholar 

  • Anghel, C.: Epimorphic families and the canonical topology. (Romaian). Stud. Cerc. Mat., 19, 805–815 (1967)

    MathSciNet  Google Scholar 

  • Abelian cosheaves and precosheaves. Stud. Cerc. Mat., 22, 3–7 (1970)

    MathSciNet  MATH  Google Scholar 

  • Anghel, C., Lecouturier, P.: Généralization d'un résultat sur le triple de la réunion. Ann. Fac. Sci. Kinshasa (Zaire), Sect. Math.-Phys., 1, 65–94 (1975)

    MathSciNet  MATH  Google Scholar 

  • Anghel, C., Radu, Gh.: Some observations on stacks. (Romanian). Stud. Cerc. Mat., 22, 835–840 (1970)

    MathSciNet  MATH  Google Scholar 

  • Arregui, J.: Some theorems on sheaves. Rev. Mat. Hisp.-Amer. (4), 26, 159–162 (1966)

    MathSciNet  Google Scholar 

  • Auslander, M.: Coherent functors. In Proc. Conf. on Cat. Alg, La Jolla, 1965, 189–231. Springer-Verlag, 1966

    Google Scholar 

  • Baladze, D.O.: Homology and cohomology groups over pairs of copresheaves and presheaves, respectively. (Russian). Sakharth. SSR Mecn. Akad. Moambe, 46, 545–551 (1967)

    MathSciNet  Google Scholar 

  • Homology and cohomology K-groups over a pair of copresheaves and presheaves, respectively. (Russian)., 55, 269–272 (1969)

    MathSciNet  Google Scholar 

  • The canonical homology and cohomology groups over a pair of copresheaves and presheaves, respectively. (Russian)., 80, 529–532 (1975)

    MathSciNet  Google Scholar 

  • Balcerzyk, S.: On Inasaridze satellites relative to traces of presheaves of categories. Bull. Acad. Polon. Sci., Ser. Sci. Math. Astron. Phys., 25, 857–861 (1977)

    MathSciNet  MATH  Google Scholar 

  • Barnwell, B.G., Mewborn, A.C.: The structure sheaf of an incidence algebra. J. Austral. Math. Soc., 25 (Ser. A), 92–102 (1978)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Barr, M.: Exact categories. In Exact categories and categories of sheaves. LNM 236, 1–120. Springer-Verlag, 1971

    Google Scholar 

  • Toposes without points. J. Pure Appl. Alg., 5, 265–280 (1975)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Atomic sites. ETH, Zurich. Preprint

    Google Scholar 

  • Barr, M., Diaconescu, R.: Atomic topoi. Preprint. McGill University, 1978

    Google Scholar 

  • Barr, M., Pare, R.: Molecular toposes. Preprint. McGill University, 1978

    Google Scholar 

  • Barre, R.: Une définition de la cohomologie à valeurs dans un faisceau. C.R. Acad. Sci. Paris, Sér A, 267, 153–156 (1968)

    MathSciNet  MATH  Google Scholar 

  • Bénabou, J.: Problèmes dans les topos. Univ. Cath. de Louvain, Inst. de Math. Pure et Appl., Rapport No. 34 (1973)

    Google Scholar 

  • Théories rélatives à un corpus. C.R. Acad. Sci. Paris, 281, 831–834 (1975)

    MATH  Google Scholar 

  • Fibrations petits et localement petit. C.R. Acad. Sci. Paris, 281, 897–900 (1975)

    MATH  Google Scholar 

  • Bénabou, J., Celeyrette, J., Jacob, O.: Topologies de Grothendieck, faisceaux, topos. I. Généralités sur les topos de Lawvere et Tierney. II. Topologie sur un topos. III. Topologie sur une catégorie de faisceau. Sém. Benabou, 1970/71

    Google Scholar 

  • Bloch, S.: Algebraic K-theory and algebraic geometry. In Algebraic K-theory I, Higher K-theories. LNM 341, 259–265. Springer-Verlag, 1973

    Google Scholar 

  • Algebraic K-theory and crystalline cohomology. Publ. Math. Inst. Hautes Etudes Scient., No. 47, 187–268 (1977)

    Google Scholar 

  • Boileau, A.: Types vs. topos. Preprint. Université de Montréal, 1975

    Google Scholar 

  • Borceux, F.: When is Ω a cogenerator in a topos ? Cahiers Top. Géom. Diff., 16, 3–15 (1975)

    MathSciNet  MATH  Google Scholar 

  • Botella Raduan, F.: On homomorphisms of sheaves. (Spanish). Rev. Math. Hisp.-Amer. (4), 25, 215–217 (1965)

    MathSciNet  MATH  Google Scholar 

  • Note on the reciprocal differential of a continuous application. (Spanish)., 25, 218–219 (1965)

    MathSciNet  MATH  Google Scholar 

  • Bourn, D.: Ditopos. C.R. Acad. Sci. Paris, Sér. A, 279, A731–A732 (1974)

    MathSciNet  MATH  Google Scholar 

  • Sur les ditopos. C.R. Acad. Sci. Paris, Sér. A, 279, A911–A913 (1974)

    MathSciNet  MATH  Google Scholar 

  • Proditopos. Cahiers Top. Géom. Diff., 17, 228–230 (1976)

    MATH  Google Scholar 

  • Brezuleanu, A.: About dual categories and representation theorems for some categories of lattices. Rev. Roumaine Math. Pures Appl., 23, 17–22 (1978)

    MathSciNet  MATH  Google Scholar 

  • Brook, T.: Finiteness: Another aspect of topoi. Thesis. Australian Nat. Univ., Canberra, 1974

    MATH  Google Scholar 

  • Order and recursion in topoi. Austral. Nat. Univ. Notes in Pure Math. To appear

    Google Scholar 

  • Brown, K.S., Gersten, S.M.: Algebraic K-theory as generalized sheaf cohomology. In Higher K-theories. LNM 341, 266–292. Springer-Verlag, 1973

    Google Scholar 

  • Buchsbaum, D.A.: Exact categories and duality. Trans. Amer. Math. Soc., 80, 1–34 (1955)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Satellites and universal functors. Ann. Math., 71, 199–209 (1960)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Bucur, I.: Quelques propriétés des topos. Rev. Roumaine Math. Pures Appl., 23, 161–167 (1978)

    MathSciNet  MATH  Google Scholar 

  • Bunge, M.C.: Categories of set valued functors. Dissertation. Univ. of Pennsylvania, 1966. Mimeographed

    Google Scholar 

  • Topos theory and Souslin's hypothesis. J. Pure Appl. Algebra, 4, 159–188 (1974)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Topoi of internal presheaves. Comunicaciones Tecnicas, Vol. 7, No. 132. Inst. de Invest. en Mat. Apl. y en Sist., Univ. Nac. Auto. de Mexico, 1976

    Google Scholar 

  • Burden, C.W.: The Hahn-Banach theorem in a category of sheaves. J. Pure Appl. Alg. To appear

    Google Scholar 

  • Burden, C.W., Mulvey, C.J.: Banach spaces in a category of sheaves. This volume

    Google Scholar 

  • Carns, G.L.: A functor to ringed spaces. Proc. Amer. Math. Soc., 29, 222–228 (1971)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Cartan, H., Eilenberg, S.: Foundations of fibre bundles. Symp. Int. Top. Alg. Mexico, 1956, 16–23. UNESCO 1958

    MATH  Google Scholar 

  • Celeyrette, J.: Théorème de Kan dans un topos. Univ. de Lille, 1974

    Google Scholar 

  • Topos de Giraud et topos de Lawvere-Tierney. Publ. Internes, No. 8. Université de Lille, I, Villeneuve d'Ascq.

    Google Scholar 

  • Catégories internes et fibrations. Thèse. Université de Paris-Nord, 1975

    Google Scholar 

  • Chen, Y.: Costacks — the simplicial parallel of sheaf theory. Cahiers Top. Géom. Diff., 10, 449–473 (1968)

    MathSciNet  MATH  Google Scholar 

  • Stacks, costacks and axiomatic homology. Trans. Amer. Math. Soc., 145, 105–116 (1969)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Some remarks on sheaf cohomology. Cahiers Top. Géom. Diff., 11, 467–473 (1969)

    MathSciNet  MATH  Google Scholar 

  • Quasi-faisceaux sur les espaces quasi-topologiques. C.R. Acad. Sci. Paris, Sér. A-B, 273, A373–A376 (1971)

    MathSciNet  Google Scholar 

  • Germs of quasi-continuous functions. Cahiers Top. Géom. Diff., 13, 41–76 (1972)

    MathSciNet  MATH  Google Scholar 

  • Cohen, H.: Un faisceau qui ne peut pas être détordu universellement. C.R. Acad. Sci. Paris, Sér. A-B, 272, A799–A802 (1971)

    MATH  Google Scholar 

  • Cole, J.C.: Categories of sets and models of set theory. Arhus Univ. Preprint Series, 52 (1970/71)

    Google Scholar 

  • The bicategory of topoi and spectra. J. Pure Appl. Alg., to appear

    Google Scholar 

  • Coppey, L.: Théories algébriques et extension de préfaisceaux. Cahiers Top. Géom. Diff., 13, 3–40 (1972)

    MathSciNet  MATH  Google Scholar 

  • : Compléments à l'article "[1]". Cahiers Top. Géom. Diff., 13, 265–273 (1972)

    MathSciNet  MATH  Google Scholar 

  • Coste, M.: Language interne d'un topos. Sém. Bénabou, Université Paris-Nord, 1972

    Google Scholar 

  • Logique d'ordre supérieur dans les topos élémentaires. Sém. Bénabou, 1974

    Google Scholar 

  • Logique du 1er ordre dans les topos élémentaires. Sém. Bénabou 1973/74

    Google Scholar 

  • Une approche logique des théories définissables par limites projectives finies. Sém. Bénabou, 1976

    Google Scholar 

  • Localisation dans les catégories de modules. Thèse. Univ. Paris-Nord, 1977

    Google Scholar 

  • Coste, M.-F.: Construction d'un modèle booléan de la théorie des ensembles à partir d'un topos booléan. C.R. Acad. Sci. Paris, Sér. A-B, 278, A1073–A1076 (1974)

    MathSciNet  Google Scholar 

  • Coste, M.-F., Coste, M.: Théories cohérentes et topos cohérents. Sém. Bénabou, 1975

    Google Scholar 

  • Coste, M.-F., Coste, M., Parent, J.: Algèbres de Heyting dans les topos. Sém. Bénabou, 1974

    Google Scholar 

  • Cunningham, B.W.: Boolean topoi and models of ZFC. Thesis. Simon Fraser University 1973

    Google Scholar 

  • Cunningham, Joel: Quotient sheaves and valuation rings. Trans. Amer. Math. Soc., 164, 227–239 (1972)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Daigneault, A.: Lawvere's elementary theories and polyadic and cylindric algebras. Fund. Math., 66, 307–328 (1970)

    MathSciNet  MATH  Google Scholar 

  • Day, B.J.: An adjoint functor theorem over topoi. Preprint, University of Sydney, 1976

    Google Scholar 

  • Dedecker, P.: Quelques aspects de la théorie des structures locales. Bull. Soc. Math. Belgique, 5, 26–43 (1952)

    MathSciNet  MATH  Google Scholar 

  • : Jets locaux, faisceaux, germes de sous-espaces. Bull. Soc. Math. Belgique, 6, 97–125 (1953)

    MathSciNet  MATH  Google Scholar 

  • : Quelques applications de la suite spectrale aux intégrales multiples du calcul des variations et aux invariants intégraux. Bull. Soc. Roy. Sci. Liège, I. 24, 276–295 (1955); II. 25, 387–399 (1956)

    MathSciNet  MATH  Google Scholar 

  • On the exact cohomology sequence of a space with coefficients in a nonabelian sheaf. Symp. Int. Top. Alg., Mexico 1956, 309–322. Univ. Nac. Aut. de Mexico and UNESCO, 1958

    Google Scholar 

  • Introduction aux structures locales. Coll. Géom. Diff. Glob., Bruxelles, 1958, 103–136

    Google Scholar 

  • Delale, J.-P.: Ensemble sous-jacent dans un topos. C.R.Acad. Sci. Paris, Sér. A, 277, A153–A156 (1973)

    MathSciNet  MATH  Google Scholar 

  • Diaconescu, R.: Axiom of choice and complementation. Proc. Amer. Math. Soc., 51, 176–178 (1975)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Change of base for some toposes. J. Pure Appl. Alg., 6, 191–218 (1975)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Grothendieck toposes have Boolean points — a new proof. Comm. in Alg., 4(8), 723–729 (1976)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Dobbs, D.E.: On characterizing injective sheaves. Can. J. Math., 29, 1031–1039 (1977)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Ehresmann, C.: Structures locales et structures infinitésimales. C.R.Acad.Sci. Paris, 234, 587–589 (1952)

    MathSciNet  MATH  Google Scholar 

  • : Introduction à la théorie des structures infinitésimales et des pseudogroupes de Lie. Colloq. Géom. Diff. de Strasbourg, 1953, C.N.R.S., Paris, 97–110

    MATH  Google Scholar 

  • : Structures locales. Ann. di Math. pura ed appl., 36, 133–142 (1954)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Eilenberg, S.: Foundations of fibre bundles. Lectures at Univ. of Chicago, 1957 (Mimeographed).

    Google Scholar 

  • Engenes, H.: Subobject classifiers and classes of subfunctors. Math. Scand., 34, 145–152 (1974)

    MathSciNet  MATH  Google Scholar 

  • Uniform spaces in topoi. No. 5, Preprint Series, Inst. of Math., Univ. of Oslo, 1976

    Google Scholar 

  • Félix, Y.: Faisceau associé à un prefaisceau. Inst. Math. Pure et Appl., Univ. Cath. de Louvain, Rapport No. 56, 1975

    Google Scholar 

  • Fontana, M., Mazzola, G.: Arithmétique fonctorielle. Rend. Math., 8, 731–768 (1975)

    MathSciNet  MATH  Google Scholar 

  • : Arithmétique fonctorielle des topologies de Grothendieck. Ann. Univ. Ferrara, Sez. VII, Sc. Math., 22, 49–94 (1976)

    MathSciNet  MATH  Google Scholar 

  • Fourman, M.P.: The logic of sheaves. Oxford Univ., Preprint, 1974

    Google Scholar 

  • Fourman, M.P.: Comparaison des réels d'un topos: structures lisses sur un topos élémentaire. Cahiers Top. Géom. Diff., 16, 233–239 (1975)

    MATH  Google Scholar 

  • The logic of topoi. In Handbook of Mathematical Logic (ed. Barwise, J.). North Holland, 1977

    Google Scholar 

  • Fourman, M.P., Scott, D.S.: Sheaves and logic. This volume

    Google Scholar 

  • Freyd, P.J.: Aspects of topoi. Bull. Austral. Math. Soc., 7, 1–76 (1972)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • On the logic of topoi. Univ. of Pennsylvania, Preprint, 1973

    Google Scholar 

  • On canonizing category theory or, On functorializing model theory. Pamphlet, University of Pennsylvania, 1974

    Google Scholar 

  • Freyd, P.J., Kelly, G.M.: Categories of continuous functors. J. Pure Appl. Alg., 2, 169–191 (1972)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Fukawa, M.: General theory of categories. Proc. Fac. Sci. Tokai Univ., 6, 1–25 (1971)

    MathSciNet  MATH  Google Scholar 

  • Gabriel, P.: Des catégories abéliennes. Bull. Soc. Math. France, 90, 323–448 (1962)

    MathSciNet  MATH  Google Scholar 

  • Gabriel, P., Ulmer, F.: Lokal prasentierbare Kategorien. LNM 221. Springer-Verlag 1971

    Google Scholar 

  • Geronimus, A.Ju.: The Grothendieck topology and the theory of representations. Funkcional Anal. i Prilozen, 5, 22–31 (1971)

    MathSciNet  Google Scholar 

  • Gersten, S.M.: Higher K-theory for regular schemes. Bull. Amer. Math. Soc., 79, 193–196 (1973)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Gerstenhaber, M.: On the deformation of sheaves of rings. In Global Analysis. Papers in honor of K. Kodaira, 149–157. Univ. of Tokyo and Princeton Univ., 1969

    Google Scholar 

  • Gildenhuys, D., Ribes, L.: Profinite groups and Boolean graphs. J. Pure Appl. Alg., 12, 21–47 (1978)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Giraud, J.: Classifying topos. In Toposes, algebraic geometry and logic, Dalhousie Univ., Halifax, 1971. LNM 274, 43–56. Springer-Verlag, 1972

    Google Scholar 

  • Golan, S.: Localization of noncommutative rings. Marcel Dekker, New York, 1975

    MATH  Google Scholar 

  • Golan, S., Raynaud, J., van Ostaeyen, F.: Sheaves over the spectra of certain noncommutative rings. Comm. Alg., 4, 491–502 (1976)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Goldston, B., Mewborn, A.C.: A structure sheaf for a noncommutative noetherian ring. J. Algebra, 47, 18–28 (1977)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Gonshor, H.: An elementary construction in sheaf theory. Amer. Math. Monthly, 75, 270–272 (1968)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Gray, J.W.: Abstract theory of pseudogroups. Reports, Seminar in Topology (Part II), University of Chicago, Summer 1957, X1–X6.

    Google Scholar 

  • : Some global properties of contact structures. Ann. Math., 69, 421–450 (1959)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Extensions of sheaves of algebras. Ill. J. Math., 5, 159–174 (1961)

    MathSciNet  MATH  Google Scholar 

  • : Extensions of sheaves of associative algebras by non-trivial kernels. Pac. J. Math., 11, 909–917 (1961)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Sheaves with values in a category. Topology, 3, 1–18 (1965)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : The meeting of the Midwest Category Seminar in Zurich. In Reports of the Midwest Category Seminar, V. LNM 195, 248–255. Springer-Verlag, 1971

    CrossRef  MATH  Google Scholar 

  • Grillet, P.A.: Directed colimits and sheaves in some non-abelian categories. In Reports of the Midwest Category Seminar, V. LNM 195, 36–69. Springer-Verlag 1971

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Regular categories. In Exact categories and categories of sheaves. LNM 236, 121–222. Springer-Verlag, 1971

    Google Scholar 

  • Gruson, L.: Complétion abélienne. Bull. Soc. Math. France, 90, 17–40 (1966)

    MathSciNet  MATH  Google Scholar 

  • Guaraldo, F., Macri, P.: Alcune questioni sugli spazi anellati. Rend. Mat. (6), 9, 311–325 (1976)

    MathSciNet  MATH  Google Scholar 

  • Guitart, R.: Types de continuité pour les relations dans un topos. Univ. Paris VII, 1976 (mimeographed)

    Google Scholar 

  • Guruswami, V.: Exactness of the localization functor for M-sets. Comm. in Alg., 6(4), 317–344 (1978)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Hacque, M.: Les T-espaces et leurs applications. Préfaisceaux et faisceaux sur les situations. Cahiers Top. Géom. Diff., 9, 281–388 (1967)

    MathSciNet  MATH  Google Scholar 

  • Haefliger, A.: Structures feuilletées et cohomologie à valeurs dans un faisceau de groupoides. Comm. Math. Helv., 32, 248–329 (1958)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Heller, A., Rowe, K.A.: On the category of sheaves. Amer. J. Math., 84, 205–216 (1962)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Higgs, D.: A category approach to boolean-valued set theory. Lecture Notes, Univ. of Waterloo, 1973

    Google Scholar 

  • Hiller, H.L.: Fibrations and Grothendieck topologies. Bull. Austral. Math. Soc., 14, 111–128 (1976)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Izako, S.: Groupoid and cohomology with values in a sheaf of groupoids. J. Sci. Hiroshima Univ., Ser. A-I, Math., 27, 61–72 (1963)

    MathSciNet  Google Scholar 

  • Johnstone, P.T.: The associated sheaf functor in an elementary topos. J. Pure Appl. Alg., 4, 231–242 (1974)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Internal categories and classification theorems. In Model Theory and Topoi. LNM 445. Springer-Verlag 1975

    Google Scholar 

  • Topos Theory. Academic Press, 1977

    Google Scholar 

  • Rings, fields and spectra. To appear

    Google Scholar 

  • Automorphisms of Ω. To appear

    Google Scholar 

  • On a topological topos. To appear

    Google Scholar 

  • Johnstone, P.T., Wraith, G.C.: Algebraic theories and recursion in elementary topos theory. To appear

    Google Scholar 

  • Joyal, A.: Polyadic spaces and elementary theories. Notices Amer. Math. Soc., 18, 563 (1971)

    Google Scholar 

  • : Functors which preserve elementary operations. Notices Amer. Math. Soc., 18, 967 (1971)

    Google Scholar 

  • Kaiser, K.: On generic stalks of sheaves. J. Lond. Math. Soc. (2), 16, 385–392 (1977)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Keigher, W.F.: Adjunctions and comonads in differential algebra. Pac. J. Math., 59, 99–112 (1975)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Kelly, G.M., Street, R.: Elementary topoi. In Abstracts of the Sydney Category Seminar, 1972

    Google Scholar 

  • Kennison, J.F.: Integral domain type representations in sheaves and other topoi. Math. Zeit., to appear

    Google Scholar 

  • Kleisli, H., Wu, Y.C.: On injective sheaves. Canad. Math. Bull., 7, 415–423 (1964)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Kock, A.: Linear algebra and projective geometry in the Zariski topos. Aarhus Univ. Preprint Series 1974/75, No. 4

    Google Scholar 

  • : Linear algebra in a local ringed site. Commun. Algebra, 3, 545–561 (1975)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • A simple axiomatics for differentiation. Aarhus Univ. Preprint Series 1975/76, No. 12. To appear in Math. Scand., 40

    Google Scholar 

  • : Universal projective geometry via topos theory. J. Pure Appl. Alg., 9, 1–24 (1976)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Taylor series calculus for ring objects of line type. Aarhus Univ. Preprint Series, 1976/77, No. 4

    Google Scholar 

  • Formally real local rings and infinitesimal stability. Preprint.

    Google Scholar 

  • Kock, A., Lecouturier, P., Mikkelsen, C.: Some topos theoretic concepts of finiteness. In Model theory and topoi. LNM 445, 209–283. Springer-Verlag, 1975

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Kock, A., Mikkelsen, C.: Topos-theoretic factorization of non-standard extensions. In Victoria Symposium on Non-Standard Analysis, 1972. LNM 369, 122–143. Springer-Verlag, 1974

    Google Scholar 

  • Kock, A., Reyes, G.E.: [1] Manifolds in formal differential geometry. Aarhus Univ. Preprint Series, 1976/77, No. 39.

    Google Scholar 

  • Doctrines in categorical logic. In Handbook of Mathematical Logic (ed. Barwise, J.). North Holland, 1977

    Google Scholar 

  • Kock, A., Wraith, G.C.: Elementary toposes. Aarhus Lecture Notes No. 30 (1971)

    Google Scholar 

  • Labella, A.: Costruzione del monoide dei quozienti in un topos elementare. Rend. Mat. (6), 7, 151–168 (1974)

    MathSciNet  MATH  Google Scholar 

  • Labelle, G.: Introduction au concept de topos. Edition No. 2. Lecture Notes, Dépt. de Math., Université du Québec à Montréal, 1971

    Google Scholar 

  • : L'arithmétique toposienne des mots naturels. Canad. Math. Bull., 17, 685–688 (1975)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Lambek, J., Rattray, B.A.: Localization at injectives in complete categories. Proc. Amer. Math. Soc., 41, 1–9 (1973)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Localization and sheaf reflectors. Trans. Amer. Math. Soc., 210, 279–293 (1975)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Laplaza, M.L.: Note on two definitions of sheaf. (Spanish). Rev. Math. Hisp.-Amer. (4), 25, 238 (1965)

    MathSciNet  Google Scholar 

  • Reciprocal image of a presheaf. (Spanish). Proc. Int. Colloq. Alg. Geom., Madrid, 1965, 133–141. Inst. Jorge Juan del C.S.I.C., Int. Math. Union, Madrid, 1966

    Google Scholar 

  • : On the natural morphism of the fibers in the inverse image. (Spanish). Rev. Math. Hisp.-Amer. (4), 25, 8–33 (1966)

    MathSciNet  Google Scholar 

  • : Note on the monomorphisms and epimorphisms between presheaves of rings. (Spanish). Rev. Mat. Hisp.-Amer. (4), 26, 34–36 (1966)

    MathSciNet  Google Scholar 

  • : Note on the structure sheaf of a ring. (Spanish). Rev. Math. Hisp.-Amer. (4), 26, 114–147 (1966)

    MathSciNet  Google Scholar 

  • : On the definition of sheaf. (Spanish). Rev. Mat. Hisp.-Amer. (4), 26, 209–233 (1966)

    MathSciNet  Google Scholar 

  • : A remark on the stalks in the 1-reciprocal image. Collect. Math., 20, 189–192 (1969)

    MathSciNet  MATH  Google Scholar 

  • : The concept of the inverse image of a presheaf. (Spanish). Rev. Mat. Hisp.-Amer. (4), 30, 13–51 (1970)

    MathSciNet  Google Scholar 

  • Lambek, J.: On the representation of modules by sheaves of factor modules. Canad. Math. Bull., 14, 359–368 (1971)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • From types to sets. Advances in Math., to appear

    Google Scholar 

  • Laudal, O.A.: Sur les limites projectives et inductives. Ann. Sci. Ecole Norm. Sup. (3), 82, 241–296 (1965)

    MathSciNet  MATH  Google Scholar 

  • : Cohomology of various completions of quasicoherent sheaves on affines. Proc. Nat. Acad. Sci., U.S.A., 69, 2614–2616 (1972)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Lawvere, F.W.: Functorial semantics of algebraic theories. Thesis, Columbia Univ., 1963. Summarized in Proc. Nat. Acad. Sci., U.S.A., 50, 869–871 (1963)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : An elementary theory of the category of sets. University of Chicago, 1966 (mimeographed). Summarized in Proc. Nat. Acad. Sci., U.S.A., 52, 1506–1511 (1964)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Functorial semantics of elementary theories. Abstract. J. Symb. Logic, 31, 294–295 (1966)

    Google Scholar 

  • : Theories as categories and the completeness theorem. Abstract. J. Symb. Logic, 32, 562 (1967)

    Google Scholar 

  • : Quantifiers and sheaves. Actes, Congres Int. Math., Nice, 1970, Vol. I, 329–334

    MathSciNet  Google Scholar 

  • Introduction to Toposes, Algebraic Geometry and Logic, Dalhousie University, Halifax, 1971. LNM 274, 1–12. Springer-Verlag, 1972

    Google Scholar 

  • : Metric spaces, generalized logic and closed categories. Rend. del Sem. Mate. e Fisc. di Milano, 43, 135–166 (1973)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Programma provvisorio del corso di "Theoria della categorie sopra un topos di base". Perugia (mimeographed)

    Google Scholar 

  • : Introduction to Model Theory and Topoi. LNM 445, 1–14. Springer-Verlag 1975

    Google Scholar 

  • Continuously variable sets: Algebraic geometry = geometric logic. Proc. Logic Colloquium '73, Bristol, 1973, 135–156. North Holland, 1975

    Google Scholar 

  • Variable sets etendu and variable structure in topoi. Lecture Notes in Math., University of Chicago, 1975 (mimeographed)

    Google Scholar 

  • Variable quantities and variable structure in topoi. In Algebra, Topology and Category Theory. A collection of papers in honor of Samuel Eilenberg, 101–131. Academic Press, 1976

    Google Scholar 

  • Lecouturier, P.: Quantificateurs dans les topos élémentaires. Preprint, Univ. Nat. de Zaire, 1972

    Google Scholar 

  • Lesaffre, B.: Structure algébrique dans les topos élémentaires. Thèse du 3e cycle. Univ. Paris VII, 1974

    Google Scholar 

  • Levaro, R.A.: Dimension theory of sheaves of R-modules. Thesis. Univ. of Illinois, 1973

    Google Scholar 

  • Projective quasi-coherent sheaves of modules. Pac. J. Math., 57, 457–461 (1975)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Levelt, A.H.M.: Foncteurs exacts à gauche. Invent. Math., 8, 114–140 (1969)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Lohre, E.: Grothendieck Topologien und Topologische Kategorien. Staatsexamensarbeit in Mathematik, Universität Münster, 1971

    Google Scholar 

  • Lohre, E., Pumplün, D.: Complements in categories and topoi. Preprint, Mathematisches Institut der Universität Münster, 1973

    Google Scholar 

  • Loullis, G.: Some aspects of the model theory in a topos. Thesis. Yale University, 1976

    Google Scholar 

  • MacLane, S.: Sets, topoi, and internal logic in categories. Proc. Logic Colloq. '73, Bristol, 1973, 119–134. North Holland, 1975

    Google Scholar 

  • : Internal logic in topoi and other categories. J. Symb. Logic, 39, 427–428 (1974)

    Google Scholar 

  • Macnab, D.S.: Some applications of double-negation sheaffication. Proc. Edinburgh Math. Soc., Ser. 1, 20, 279–285 (1977)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Mahé, L.: Topos infinitésimal. C.R. Acad. Sci. Paris, Sér. A, 277, A497–A500 (1973)

    MATH  Google Scholar 

  • : Théorèmes, exemples et contre-exemples pour certaines propriétés des entiers naturels dans les topos. C.R. Acad. Sci. Paris, Sér. A-B, 282, A1273–A1276 (1976)

    MATH  Google Scholar 

  • Makkai, M., Reyes, G.E.: Model-theoretical methods in the theory of topoi and related categories, I, II. Bull. Acad. Pol. des Sci., 24, 379–392 (1976)

    MathSciNet  MATH  Google Scholar 

  • First Order Categorical Logic. LNM 611. Springer-Verlag 1977

    Google Scholar 

  • Marchini, C.: Alcune questioni di semantica in un topos elementare. Riv. Mat. Univ. Parma (4), 2, 213–220 (1976)

    MathSciNet  Google Scholar 

  • Martinez, J.J.: Induced sheaves and Grothendieck topologies. Rev. Un. Mat. Argentina, 24, 67–90 (1968–69)

    MathSciNet  MATH  Google Scholar 

  • Maurer, C.: Universen als interne Topoi. Dissertation. Univ. Bremen, 1974

    Google Scholar 

  • Universes in topoi. In Model Theory and Topoi. LNM 445, 284–296. Springer-Verlag, 1975

    Google Scholar 

  • Meseguer, J., Sols, I.: Primitive and simple recursion in categories and topoi. Cahiers Top. Géom. Diff., 16, 436–440 (1975)

    Google Scholar 

  • Meyer, H.-M.: Injektive Objekte in Topoi. Dissertation. Univ. Tübingen, 1974

    Google Scholar 

  • Michaud, P.: Faisceaux principaux et plongements. Cahier Top. Géom. Diff., 12, 469–497 (1971)

    MathSciNet  MATH  Google Scholar 

  • Mijoule, R.: Théorie des types et modèles de la théorie des ensembles. C.R. Acad. Sci. Paris, Sér. A-B, 283, A733–A735 (1976)

    MathSciNet  MATH  Google Scholar 

  • Mikkelsen, C.J.: The adjoint functor principle for elementary topoi. Cahiers Top. Géom. Diff., 14, 46 (1974)

    Google Scholar 

  • Lattice theoretic and logical aspects of elementary topoi. Thesis. Aarhus University, 1976

    Google Scholar 

  • Mitchell, B.: Theory of Categories. Academic Press, 1965

    Google Scholar 

  • Mitchell, W.: Boolean topoi and the theory of sets. J. Pure Appl. Alg., 2. 261–274 (1972)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Categories of boolean topoi. J. Pure Appl. Alg., 3, 193–201 (1973)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : On topoi as closed categories. J. Pure Appl. Alg., 3, 133–139 (1973)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Mulvey, C.J.: A condition for a ringed space to be a generator in its category of modules. J. Algebra, 15, 312–313 (1970)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Représentations des produits sous-directs d'anneaux par espaces annelés. C.R. Acad. Sci. Paris, 270, 564–567 (1970)

    MathSciNet  MATH  Google Scholar 

  • On ringed spaces. Thesis. Univ. of Sussex, 1970

    Google Scholar 

  • Intuitionistic algebra and representations of rings. In Recent advances in the representation theory of rings and C*-algebras by continuous sections (Tulane, 1973). Mem. Amer. Math. Soc., 148, 3–57 (1974)

    Google Scholar 

  • : Espaces annelés compacts. C.R. Acad. Sci. Paris, 283, A229–A231 (1976)

    MathSciNet  MATH  Google Scholar 

  • : A remark on the prime stalk theorem. J. Pure Appl. Alg., 10, 253–256 (1977)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : A generalisation of Swan's theorem. Math. Zeit., 151, 51–70 (1976)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Compact ringed spaces. J. Algebra, 52, 411–436 (1978)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • The real numbers in a topos. To appear

    Google Scholar 

  • : A categorical characterisation of compactness. J. Lond. Math. Soc. (2), 17, 356–362 (1978)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Banach sheaves. J. Pure Appl. Alg., to appear

    Google Scholar 

  • Representations of rings and modules. This volume

    Google Scholar 

  • The syntactic construction of certain spectra. Rend. del Sem. Mate. e Fis. di Milano, to appear

    Google Scholar 

  • Murdock, D., van Ostaeyen, F.: Noncommutative localization and sheaves. J. Algebra, 35, 500–515 (1975)

    CrossRef  MathSciNet  Google Scholar 

  • Nastasescu, C., Popescu, N.: Quelques observations sur les topos abéliens. Revue Roumaine Math. pur. appl., 12, 553–563 (1967)

    MathSciNet  MATH  Google Scholar 

  • Nickerson, H.K., Spencer, D.C.: Differential geometry and sheaves. Mimeographed notes, Princeton Univ., 1955

    Google Scholar 

  • Nishida, T.: On sheaves with values in a category. Sci. Rep. Tokyo Kyoiku Daigaku, A, 10, 146–153 (1969)

    MathSciNet  MATH  Google Scholar 

  • Osius, G.: Categorical set theory: a characterization of the category of sets. J. Pure Appl. Alg., 4, 79–119 (1974)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : The internal and external aspects of logic and set theory in elementary topoi. Cahiers Top. Géom. Diff., 15, 157–180 (1974)

    MathSciNet  MATH  Google Scholar 

  • Logical and set theoretical tools in elementary topoi. In Model Theory and Topoi. LNM 445, 297–346. Springer-Verlag, 1975

    Google Scholar 

  • A note of Kripke-Joyal semantics for the internal language of topoi. In Model Theory and Topoi. LNM 445, 349–354. Springer-Verlag 1975

    Google Scholar 

  • Ouzilou, R.: Faisceaux additifs et applications catégoriques. Publ. Dép. Math., Lyon, 3, fasc. 3, 2–41 (1966)

    MathSciNet  MATH  Google Scholar 

  • Paré, R.: Colimits in topoi. Bull. Amer. Math. Soc., 80, 556–561 (1974)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Penk, A.M.: Two forms of the axiom of choice for an elementary topos. J. Symb. Logic, 40, 197–212 (1975)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Penon, J.: Quasi-topos. C.R. Acad. Sci. Paris, 276, 237–240 (1973)

    MathSciNet  MATH  Google Scholar 

  • : Quasi-topos. Cahiers Top. Géom. Diff., 14, 50–51 (1974)

    MATH  Google Scholar 

  • : Catégories localement internes. C.R.Acad. Sci. Paris, 278, A1577–A1580 (1974)

    MathSciNet  MATH  Google Scholar 

  • : Sur les quasi-topos. Cahiers Top. Géom. Diff., 18, 181–218 (1977)

    MathSciNet  MATH  Google Scholar 

  • Poitoi, G.: Introduction à la théorie des faisceaux. Séminaire d'Algèbre et Théorie des Nombres, Faculté des Sciences de l'Université de Lille, 1964/65

    Google Scholar 

  • Popescu, D.: Les faisceaux d'une théorie. C.R. Acad. Sci. Paris, Sér. A-B, 269, A380–A382 (1969)

    MATH  Google Scholar 

  • : Sur les catégories des (t,T)-faisceaux. C.R.Acad. Sci. Paris, Sér. A-B, 269, A413–A415 (1969)

    MATH  Google Scholar 

  • : Catégories des faisceaux. J. Algebra, 18, 343–365 (1971)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Les faisceaux d'une classe des morphismes. C.R. Acad. Sci. Paris, Sér. A-B, 272, A101–A103 (1971)

    MathSciNet  MATH  Google Scholar 

  • : Cofaisceaux d'une catégorie. C.R. Acad. Sci. Paris, Sér. A-B, 272, A299–A302 (1971)

    MATH  Google Scholar 

  • Quillen, D.: Higher K-theory for categories with exact sequences. In New developments in topology, Lond. Math. Soc. Lecture Notes Series 11, Cambridge, University Press, 1974, 95–103

    CrossRef  Google Scholar 

  • Higher algebraic K-theory: I. In Algebraic K-theory I, Higher K-theories. LNM 341, 85–147. Springer-Verlag 1973

    Google Scholar 

  • Radu, A.Gh.: Quelques observations sur les sites préadditifs. Rev. Roumaine Math. Pures Appl., 14, 845–849 (1969)

    MathSciNet  MATH  Google Scholar 

  • : Fields over a site. (Romanian, French summary). An. Sti. Univ. "Al. I. Cuza" Iasi, Sect. Ia Mat., (N.S.) 15, 307–312 (1969)

    MathSciNet  Google Scholar 

  • : The topos of additive presheaves of abelian groups over a small preadditive category, etc. I, II, III, IV, V, VI, VII, VIII. Stud. Cerc. Mat., 21, 141–149; 151–159; 261–277; 279–285; 471–478; 479–482; 617–629; 631–635 (1969)

    MathSciNet  Google Scholar 

  • : Caractérisation des topos abéliens. (Romanian). Stud. Cerc. Mat., 22, 527–529 (1970)

    MathSciNet  MATH  Google Scholar 

  • Radu, Gh.Gh.: The category of sheaves in multiplicative hypercartesian topology. Rev. Roumaine Math. Pures Appl., 14, 1351–1354 (1969)

    MathSciNet  MATH  Google Scholar 

  • : Continuity properties of the generalized source functor. (Romanian). Stud. Cerc. Mat., 22, 291–296 (1970)

    MathSciNet  Google Scholar 

  • Rahbar, H.: Images réciproques de précofaisceaux de modules ou d'anneaux. C.R. Acad. Sci. Paris, Sér. A-B, 277, A1–A4 (1973)

    MathSciNet  MATH  Google Scholar 

  • Reyes, G.E.: From sheaves to logic. In Studies in Algebraic Logic, MAA Studies in Mathematics, Vol. 9, 143–204 (1974)

    Google Scholar 

  • : Faisceaux et concepts. Cahiers Top. Géom. Diff., 16, 307 (1975)

    MATH  Google Scholar 

  • Théorie des modèles et faisceaux. Inst. Math. Pure et Appl., Univ. Cath. de Louvain, Rapport No. 63, 1976

    Google Scholar 

  • Sheaves and concepts: a model-theoretic introduction to Grothendieck topoi. Aarhus Univ. Preprint Series, 1975/76, No. 2

    Google Scholar 

  • Reyes, G.E., Wraith, G.C.: A note on tangent bundles in a category with ring object. Math. Scand., to appear

    Google Scholar 

  • Ribenboim, P.: The differential spectrum of a ring. Cahiers Top. Géom. Diff., 14, 143–152 (1974)

    MathSciNet  MATH  Google Scholar 

  • Röhrl, H.: Über Satelliten halbexakter Funktoren. Math. Zeit., 79, 193–223 (1962)

    CrossRef  MATH  Google Scholar 

  • : Über die Kohomologie berechenbarer Frechet Garben. Comment. Math. Univ. Carolinae, 10, 625–640. (1969)

    MathSciNet  MATH  Google Scholar 

  • Roos, J.E.: Introduction à l'étude de la distributivité de foncteurs lim par rapport aux lim dans les catégories des faisceaux (topos). C.R. Acad. Sci. Paris, 259, 969–972; 1605–1608; 1801–1804 (1964)

    MathSciNet  MATH  Google Scholar 

  • Rousseau, C.: Théorie des topos et analyse complexe. Thèse. Univ. de Montréal, 1977

    Google Scholar 

  • : Topos theory and complex analysis. J. Pure Appl. Alg., 10, 299–313 (1977)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Topos theory and complex analysis. This volume

    Google Scholar 

  • Roux, A.: Objet étalé et faisceau. Publ. Dép. Math., Lyon, 1966, 3, fasc. 3, 42–56

    MathSciNet  MATH  Google Scholar 

  • Rowe, K.A.: Topoidal set theory. Lecture Notes, University of Waterloo, 1974

    Google Scholar 

  • : Images in topoi. Canad. Math. Bull., 20, 471–478 (1977)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Schafer, J.A.: The dual of the flabby is the bar. Proc. Amer. Math. Soc., 16, 594–598 (1965)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Schlomiuk, D.J.: Topos di Grothendieck e topos di Lawvere e Tierney. Rend. Mat., VI Sec., 7 (1974), 513–553 (1975)

    MathSciNet  MATH  Google Scholar 

  • Schubert, H.: Categories. Springer-Verlag, 1972

    Google Scholar 

  • Schumacher, D.: Absolutely free algebras in a topos containing an infinite object. Canad. Math. Bull., 19, 323–328 (1976)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Seebach, J.A., Seebach, L.A., Steen, L.A.: What is a sheaf? Amer. Math. Monthly, 77, 681–703 (1970)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Solian, A.: Faisceaux sur un groupe abélien. C.R. Acad. Sci. Paris, Sér. A-B, 263, A754–A757 (1966)

    MathSciNet  MATH  Google Scholar 

  • : Faisceaux sur un groupe abélien. I: Catégorie des sous-ensembles additifs et préfaisceaux des sections. II: Caractérisation des faisceaux. III: Application à la théorie des extensions des groupes. Rev. Roumaine Math. Pur. Appl., 14, 71–79; 81–92; 94–104 (1969)

    MathSciNet  MATH  Google Scholar 

  • Sols, I.: Bon ordre dans l'objet des nombres naturels d'un topos booléen. C.R. Acad. Sci. Paris, 281, 601–603 (1975)

    MathSciNet  MATH  Google Scholar 

  • : Programming in topoi. Cahiers Top. Géom. Diff., 16, 342–349 (1975)

    Google Scholar 

  • Stenström, B.: Rings and modules of quotients. LNM 237. Springer-Verlag, 1971

    Google Scholar 

  • Stout, L.N.: General topology in an elementary topos. Thesis. Univ. of Illinois, 1974

    Google Scholar 

  • : Unpleasant properties of the reals in a topos. Cahiers Top. Géom. Diff., 16, 320–322 (1975)

    MATH  Google Scholar 

  • : Quels sont les espaces topologiques dans les topos. Annales des Sc. Math. du Québec, 2, 123–141 (1978)

    MathSciNet  MATH  Google Scholar 

  • : A topological structure on the structure sheaf of a topological ring. Comm. in Algebra, 5, 695–705 (1977)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Topological properties of the real numbers object in a topos. Cahiers Top. Géom. Diff., 17, 295–326 (1976)

    MathSciNet  MATH  Google Scholar 

  • : Topology in a topos, II: E-completeness and E-cocompleteness. Manuscripta Math., 17, 1–14 (1975)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Swan, R.G.: The Theory of Sheaves. University of Chicago Press 1964

    Google Scholar 

  • Tennison, B.R.: Sheaf Theory. Lond. Math. Soc. Lecture Notes Series, 20. Cambridge University Press, 1975

    Google Scholar 

  • Tierney, M.: Sheaf theory and the continuum hypothesis. In Toposes, Algebraic Geometry and Logic. LNM 274, 13–42. Springer-Verlag 1972

    Google Scholar 

  • Axiomatic sheaf theory: some constructions and applications. Proc. C.I.M.E. Conf. on Categories and Commutative Algebra, Varenna, 1971, 249–326. Ed. Cremonese, Roma, 1973

    Google Scholar 

  • : Diaconescu's thesis. Cahiers Top. Géom. Diff., 14, 57–59 (1974)

    Google Scholar 

  • On the spectrum of a ringed topos. In Algebra, Topology and Category Theory, 189–210. Academic Press 1976

    Google Scholar 

  • Forcing topologies and classifying topoi. In Algebra, Topology and Category Theory, 211–220. Academic Press, 1976

    Google Scholar 

  • Axiomatic sheaf theory. Bull. Amer. Math. Soc., to appear?

    Google Scholar 

  • Ulmer, F.: On the existence and exactness of the associated sheaf functor. J. Pure Appl. Algebra, 3, 295–306 (1971)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Van den Bossche, G.: Algèbres de Heyting complètes étalées et faisceaux. Ann. Soc. Sci. Bruxelles, Sér. I, 91, 107–116 (1977)

    MATH  Google Scholar 

  • Van de Wauw-de Kinder, G.: Arithmétique de premier ordre dans les topos. C.R. Acad. Sci. Paris, Sér. A-B, 280, A1579–A1582 (1975)

    MATH  Google Scholar 

  • Van Osdol, D.H.: Some applications of triples to sheaf theory. Thesis. Univ. of Illinois, 1969

    Google Scholar 

  • Sheaves in regular categories. In Exact categories and categories of sheaves. LNM 236, 223–239. Springer-Verlag, 1971

    Google Scholar 

  • : Coalgebras, sheaves and cohomology. Proc. Amer. Math. Soc., 33, 257–263 (1972)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Biocohomology theory. Trans. Amer. Math. Soc., 183, 449–476 (1973)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Global homotopy theory. Univ. of New Hampshire, mimeographed, 1974?

    Google Scholar 

  • : Extensions of sheaves of commutative algebras by nontrivial kernels. Pac. J. Math., 55, 531–541 (1974)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Homological algebra in topoi. Proc. Amer. Math. Soc., 50, 52–54 (1975)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Van Ostaeyen, F.: Prime spectra in non-commutative algebra. LNM 444. Springer-Verlag, 1975

    Google Scholar 

  • : Pointwise localization in presheaf categories. Nederl. Akad. Wetansch. Proc., Ser. A, 80 = Indag. Math., 39, 114–121 (1977)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Van Ostaeyen, F., Verschoren, A.: Localization of presheaves of modules. Nederl. Akad. Wetensch. Proc., Ser. A. 79 = Indag. Math., 38, 355–348 (1976)

    MathSciNet  Google Scholar 

  • : Localization of sheaves of modules. Nederl. Akad. Wetensch. Proc., Ser. A, 79 = Indag. Math., 38, 470–481 (1976)

    MathSciNet  MATH  Google Scholar 

  • Vasilache, S.: Ensembles, structures, catégories, faisceaux. Initiation aux Structures Fondamentales des Mathématiques Modernes. Les Presses de l'Université Laval, Quebec: Masson, Paris, 1977

    Google Scholar 

  • Vázquez, R.: Gavillas con valores en categorias. Anales del Inst. de Mate., Univ. Nac. Auto. de Mexico, 3, 37–77 (1963)

    Google Scholar 

  • Villamayor, O.E., Zelinsky, D.: Brauer groups and Amitsur cohomology for general commutative ring extensions. Trabajos de Matematica 7, Consejo Nac. de Investigaciones Cientificas y Tecnicas, Instituto Argentino de Matematica, I.A.M., Buenos Aires, 1976

    Google Scholar 

  • Volger, H.: Ultrafilters, ultrapowers and finiteness in a topos. J. Pure Appl. Algebra, 6, 345–356 (1975)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Completeness theorem for logical categories. In Model Theory and Topoi. INM 445, 51–86. Springer-Verlag, 1975

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Logical categories, semantical categories and topoi. In Model Theory and Topoi. LNM 445, 87–100. Springer-Verlag 1975

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Vrabec, J.: A note on projective sheaves of modules. Proc. Int. Symp. on Top. and its Appl. (Herceg-Novi 1968), 326–330. Savez Drustava Mat. Fiz. Astronom. Belgrade 1969

    Google Scholar 

  • Weidenfeld, G., Weidenfeld, M.: Faisceaux et complétions universelles. Cahiers Top. Géom. Diff., 15, 83–108 (1974)

    MathSciNet  MATH  Google Scholar 

  • Winters, G.B.: An elementary lecture on algebraic spaces. In Categories and Commutative Algebra, C.I.M.E., Varenna, 1971. Ed. Cremonese, Roma, 1973

    Google Scholar 

  • Wraith, G.C.: Topos élémentaires et arithmétique. Caihers Top. Géom. Diff., 14, 65–66 (1974)

    Google Scholar 

  • Algebraic theories in topoi. Univ. of Sussex, 1974, Mimeographed

    Google Scholar 

  • : Artin glueing. J. Pure Appl. Algebra, 4, 345–348 (1974)

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Lectures on elementary topoi. In Model Theory and Topoi. LNM 445, 114–206. Springer-Verlag, 1975

    CrossRef  MathSciNet  MATH  Google Scholar 

  • : Logic from topology: a survey of topoi. Bull. Inst. Math. and its Applications, 12, 115–119 (1976)

    MathSciNet  Google Scholar 

  • Wyler, O.: Are there topoi in topology? Proc. Mannheim Conf. on Categorical Topology. LNM 540, 699–719. Springer-Verlag 1976

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Yamada, H.: On formal schemes. Number theory, algebraic geometry, and commutative algebra, 243–295. Kinokuniya, Tokyo, 1973

    Google Scholar 

  • Zisman, M.: Complexes de faisceaux parfaits. Symp. Math., Vol. IV (INDAM, Rome 1968/69), 285–302. Academic Press, 1970

    MathSciNet  MATH  Google Scholar 

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Gray, J.W. (1979). Fragments of the history of sheaf theory. In: Fourman, M., Mulvey, C., Scott, D. (eds) Applications of Sheaves. Lecture Notes in Mathematics, vol 753. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061812

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