The works of J. de groot

  • R. H. McDowell
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 378)

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List of publications of Professor J. de Groot

  1. [1]
    "Mededeling betreffende het lichaam der rationale functies", Hand. 27e Ned. Nat. ¢ Gen. Cong., 93–94 (1941).Google Scholar
  2. [2]
    "Sätze über topologische Erweiterung von Abbildungen", Proc. Kon. Ned. Akad. Wet. 44, 934–938 (1941).MATHGoogle Scholar
  3. [3]
    "Bemerkungen über die Analytische Fortesetzung in bewertete Körper", Proc. Kon. Ned. Akad. Wet. 45, 347–349 (1942).Google Scholar
  4. [4]
    (with F. Loonstra), "Topologische Eigenschaften bewertete Körper", Proc. Kon. Ned. Akad. Wet. 45, 658–664 (1942).MATHGoogle Scholar
  5. [5]
    "Bemerkung zum Problem der topologischen Erweiterung von Abbildungen", Proc. Kon. Ned. Akad. Wet. 45, 655–657 (1942).MathSciNetMATHGoogle Scholar
  6. [6]
    "On the extension of continuous functions", Proc. Kon. Ned. Akad. Wet. 45, 842–843 (1942).MathSciNetMATHGoogle Scholar
  7. [7]
    "Topologische studiën", Thesis, Groningen, October (1942), (102 pages).Google Scholar
  8. [8]
    "Über die Fortsetzung differenzierbarer Funktionen", Mathematica Zutphen, B12, 15–24 (1943).MATHGoogle Scholar
  9. [9]
    "Topological classification of all closed countable and continuous classification of all countable pointsets", Proc. Kon. Ned. Akad. Wet. 48, 237–248 (1945).MathSciNetMATHGoogle Scholar
  10. [10]
    "Some topological problems", Proc. Kon. Ned. Akad. Wet. 49 = Indag. Math. 8, 11–17 (1946).Google Scholar
  11. [11]
    "Space groups and their axioms", Proc. Kon. Ned. Akad. Wet. 49 = Indag. Math. 8, 53–58 (1946).MATHGoogle Scholar
  12. [12]
    "A theorem concerning analytic continuation I", Proc. Kon. Ned. Akad. Wet. 49 = Indag. Math. 8, 110–119 (1946).MATHGoogle Scholar
  13. [13]
    "A theorem concerning analytic continuation II", Proc. Kon. Ned. Akad. Wet. 49 = Indag. Math. 8, 496–504 (1946).MATHGoogle Scholar
  14. [14]
    "Continuous classification of all microcompact O-dimensional spaces", Proc. Kon. Ned. Akad. Wet. 49 = Indag. Math. 8, 337–342.Google Scholar
  15. [15]
    "A note on O-dimensional spaces", Proc. Kon. Ned. Akad. Wet. 50 = Indag. Math. 9, 94–98 (1947).Google Scholar
  16. [16]
    "Topological characterization of all subsets of the real number system", Proc. Kon. Ned. Akad. Wet. 50 = Indag. Math. 9, 387–395 (1947).MATHGoogle Scholar
  17. [17]
    "Topologie", Cursus Rotterdam, 1947 (94 pages, MC syllabus).Google Scholar
  18. [18]
    "Local connectedness and quasiorder", Proc. Kon. Ned. Akad. Wet. 51 = Indag. Math. 10, 313–318 (1948).MATHGoogle Scholar
  19. [19]
    "Voordrachten over topologie voor dispuut Thomas Stieltjes", Math. Centre, 1948 (3 pages).Google Scholar
  20. [20]
    "Example d'un groupe avec deux générateurs, contenant un sous-groupe commutatief sans un systeme fini de générateurs", N. Arch. v. Wisk. (2) 23, 128–130 (1949).MATHGoogle Scholar
  21. [21]
    "Colloquium Topologie", Math. Centre, Ansterdam (1949–51), incomplete.Google Scholar
  22. [22]
    "Fantasie van punt tot punt", inaugurele rede Technische Hogeschool Delft, Noordhoff-Groningen, 1949.Google Scholar
  23. [23]
    "Realizations under continuous mappings", Proc. Kon. Ned. Akad. Wet. 53 = Indag. Math. 12, 483–492 (1950).Google Scholar
  24. [24]
    "The dimension concept and dimension zero, zeven voordrachten over topologie", Centrumreeks No. 1, Math. Centrum, Amsterdam, 26–35 (1950).Google Scholar
  25. [25]
    "Decomposition spaces I", Proc. Kon. Ned. Akad. Wet. 54, 109–115 (1951).MATHGoogle Scholar
  26. [26]
    "Tijd onder mathematisch aspect", Inaugurele rede, Univ. van Amsterdam, Noord Hollandse Uitgeversmaatschappij, Amsterdam, 1952.Google Scholar
  27. [27]
    Handleiding Analyse, Delftse Uitg. Mij, 1953 (159 pages).Google Scholar
  28. [28]
    Het Congruentiebegrip, Faraday, 1954 (1 page).Google Scholar
  29. [29]
    (with T. Dekker), "Free subgroups of the orthogonal group", Comp. Math. 12, 134–136 (1954).MathSciNetMATHGoogle Scholar
  30. [30]
    "Example of two sets neither of which contains a continuous image of the other", Proc. Kon. Ned. Akad. Wet. 57 = Indag. Math., 525–526 (1954).Google Scholar
  31. [31]
    (with T. Dekker), "Decompositions of a sphere", Proc. Int. Congress, Amsterdam, 171–175 (1954).Google Scholar
  32. [32]
    "On Cohen's topological characterization of sets of real numbers", Proc. Kon. Ned. Akad. Wet. 58 = Indag. Math. 17, 33–35 (1955).CrossRefMATHGoogle Scholar
  33. [33]
    "On a compactness criterion of Freudenthal", Proc. Kon. Ned. Akad. Wet. 58 = Indag. Math. 17, 130–131 (1955).MathSciNetCrossRefMATHGoogle Scholar
  34. [34]
    (with H. de Vries), "A note on non-Archimedean metrizations", Proc. Kon. Ned. Akad. Wet. 58 = Indag. Math. 17, 222–224 (1955).MathSciNetCrossRefMATHGoogle Scholar
  35. [35]
    "Continuous mappings of a certain family", Fund. Math. 42, 203–206 (1955).MathSciNetMATHGoogle Scholar
  36. [36]
    "A system of continuous, mutually non-differentiable functions", Math. Zeitschr. 64, 192–194 (1956).MathSciNetCrossRefMATHGoogle Scholar
  37. [37]
    "On some problems of Borsuk concerning a hyperspace of compact sets", Indag. Math. 18, 95–103 (1956).MathSciNetCrossRefMATHGoogle Scholar
  38. [38]
    "Orthogonal isomorphic representations of free groups", Can. J. Math. 8, 256–262 (1956).MathSciNetCrossRefMATHGoogle Scholar
  39. [39]
    (with T. Dekker), "Decompositions of a sphere", Fund. Math. 43, 185–194 (1956).MathSciNetMATHGoogle Scholar
  40. [40]
    "An isomorphism criterion for completely decomposable abelian groups", Math. Ann. 132, 328–332 (1956).MathSciNetCrossRefMATHGoogle Scholar
  41. [41]
    "Non-archimedean metrics in topology", Trans. Amer. Math. Soc., 948–953 (1956).Google Scholar
  42. [42]
    (with Ph. Dwinger), "On the axioms of Baer and Kurosh in modular lattices", Indag. Math. 18, 596–601 (1956).MathSciNetMATHGoogle Scholar
  43. [43]
    "Indecomposable abelian groups", Proc. Kon. Ned. Akad. Wet. 60 = Indag. Math. 19, 137–145 (1957).MathSciNetCrossRefMATHGoogle Scholar
  44. [44]
    "Equivalent abelian groups", Can. J. Math. 9, 291–297 (1957).MathSciNetCrossRefMATHGoogle Scholar
  45. [45]
    "On a metric that chatacterizes dimension", Can. J. Math. 9, 511–513 (1957).CrossRefMATHGoogle Scholar
  46. [46]
    (with H. de Vries), "Convex sets in projective space", Compos. Math. 13, 113–118 (1957).MathSciNetMATHGoogle Scholar
  47. [47]
    "Algemene topologie" (a series of lectures during Spring, 1957), Math. Centre, Amsterdam (12 pages, incomplete).Google Scholar
  48. [48]
    "Rigid Groups", Mimeographed notes, University of Amsterdam, January, 1957.Google Scholar
  49. [49]
    (with H. de Vries), "Metrization of a set which is mapped into itself", Quart. J. Math. 9, 144–148 (1958).MathSciNetCrossRefMATHGoogle Scholar
  50. [50]
    "Some special metrics in general topology", Coll. Math. 6, 283–286 (1958).MathSciNetMATHGoogle Scholar
  51. [51]
    (with R. J. Wille), "Rigid continua and topological group pictures", Arch. der Math. 9, 441–446 (1958).MathSciNetCrossRefMATHGoogle Scholar
  52. [52]
    (with H. de Vries), "Indecomposable abelian groups with many automorphisms", Nw. Arch. voor Wisk. 63(VI), 55–58 (1958).MathSciNetMATHGoogle Scholar
  53. [53]
    "Groups represented by homeomorphism groups I", Math. Ann. 138, 80–102 (1959).MathSciNetCrossRefMATHGoogle Scholar
  54. [54]
    "The action of a locally compact group on a metric space", Nw. Arch. voor Wisk. 3(VII), 70–74 (1959).MathSciNetMATHGoogle Scholar
  55. [55]
    "Seminar notes on compactification and dimension in metric spaces", mimeographed notes, 1960.Google Scholar
  56. [56]
    (with R. H. McDowell), "Extension of mappings on metric spaces", Fund. Math. 48, 251–263 (1960).MathSciNetMATHGoogle Scholar
  57. [57]
    (with A. H. Copeland, Jr.), "Linearization of a homeomorphism", Math. Ann. 144, 80–92 (1961).MathSciNetCrossRefMATHGoogle Scholar
  58. [58]
    "Linearization of mappings", Proc. Top. Symp., Prague, 191–193 (1961).Google Scholar
  59. [59]
    (with J. M. Aarts), "A case of colouration in the four colour problem", Nw Archief voor Wisk 11, 10–18 (1963).MathSciNetMATHGoogle Scholar
  60. [60]
    (with R. H. McDowell), "Autohomeomorphism groups of O-dimensional spaces", Comp. Math. 15, 203–209 (1963).MathSciNetMATHGoogle Scholar
  61. [61]
    "Subcompactness and the Baire Category Theorem", Proc. Kon. Ned. Akad. Wet. 66 = Indag. Math. 25, 761–767 (1963).MathSciNetCrossRefMATHGoogle Scholar
  62. [62]
    (with H. de Vries and T. van der Walt), "Almost fixed point theorems for the Euclidean plane", Proc. Kon. Ned. Akad. Wet. 66 = Indag. Math. 25 (1963).Google Scholar
  63. [63]
    "Additive groups of integer-valued functions over topological spaces", Proc. of the Coll. on Abelian groups, Tihany (Hungary)Google Scholar
  64. [64]
    "Discrete subspaces of hausdorff spaces", Bull. de l'acad. Pol. des Sc. Vol. XIII 8, 537–544 (1965).MathSciNetMATHGoogle Scholar
  65. [65]
    (with T. Nishiura), "Inductive compactness as a generalization of semicompactness", Fund. Math. 58, 201–218 (1966).MathSciNetMATHGoogle Scholar
  66. [66]
    (with G. E. Strecker and E. Wattel), "The compactness operator in general topology", Proc. Top. Symp., Prague, 161–163 (1966).Google Scholar
  67. [67]
    "An isomorphism principle in general topology", Bull. Amer. Math. Soc. 73, 365–367 (1957).MathSciNetGoogle Scholar
  68. [68]
    (with R. H. McDowell), "Locally connected spaces and their compactifications I", J. Math. 11, 353–364 (1967).MathSciNetMATHGoogle Scholar
  69. [69]
    (with M. A. Maurice), "On the existence of rigid compact ordered spaces", Proc. Amer. Math. Soc. 19, 844–846 (1968).MathSciNetCrossRefMATHGoogle Scholar
  70. [70]
    (with G. E. Strecker, E. Wattel and H. Herrlich), "Strengthening Alexander subbase theorem", Duke Math. J. 35, 671–676 (1968).MathSciNetCrossRefMATHGoogle Scholar
  71. [71]
    (with P. C. Baayen), "Linearization of locally compact transformation groups in Hilbert space", Math. Systems Theory 2, 363–379 (1968).MathSciNetCrossRefMATHGoogle Scholar
  72. [72]
    (with G. A. Jensen and A. Verbeek), "Superextensions", ZW 1968-017, Math. Centre, Amsterdam (33 pages).Google Scholar
  73. [73]
    (with J. M. Aarts), "Complete regularity as a separation axiom", Canad. J. Math. 21, 96–105 (1969).MathSciNetCrossRefMATHGoogle Scholar
  74. [74]
    "Supercompactness and superextensions", Proc. First Symp. on Ext. Theor. of Top. Struct., Berlin (1967) VEB (1969).Google Scholar
  75. [75]
    (with H. Herrlich, G. E. Strecker and E. Wattel), "Compactness as an operator", Comp. Math. 21, 349–375 (1969).MathSciNetMATHGoogle Scholar
  76. [76]
    (with J. Nagata), "Lectures on dimension theory for infinite dimensional spaces", University of Florida at Gainesville, mimeographed notes (27 pages).Google Scholar
  77. [77]
    "Topological Hilbert space and the dropout effect", (talk at Math. Centre), ZW 1969-016, Math. Centre, Amsterdam (7 pages).Google Scholar
  78. [78]
    (with J. M. Aarts and R. H. McDowell), "Cocompactness", Nieuw. Arch. voor Wisk. (3)XVIII, 2–15 (1970).MathSciNetMATHGoogle Scholar
  79. [79]
    (with J. M. Aarts and R. H. McDowell), "Cotopology for metrizable spaces", Duke Math. J. 37, 291–295 (1970).MathSciNetCrossRefMATHGoogle Scholar
  80. [80]
    (with G. A. Jensen and A. Verbeek), "Superextensions", Proc. Top. Symp. Herceg Novi 1968, Yugoslavia (1970).Google Scholar
  81. [81]
    "Connectedly generated spaces", Proc. Top. Symp. Herceg Novi 1968, Yugoslavia, 171–175 (1970).Google Scholar
  82. [82]
    "Some results on local homogeneity", unpublished seminar notes, University of Florida at Gainesville, 1970.Google Scholar
  83. [83]
    "On the topological characterization of Dn, En, Sn and Pn", unpublished notes, University of Amsterdam, November 1970.Google Scholar
  84. [84]
    "Topological characterization of metrizable cubes", mimeographed notes, June 1971, to be published in Gedenkband Hausdorff VEB.Google Scholar
  85. [85]
    "Andere Modellen voor ruimte en tijd", voordracht Ned. Kon. Akad. Wet. 80 (1971).Google Scholar
  86. [86]
    "On the topological characterization of manifolds", preprint, University of Amsterdam (presented at the Top. Symp. Prague, September 1971).Google Scholar
  87. [87]
    (with J. L. Hursch and G. A. Jensen), "Local connectedness and other properties of GA compactifications", Indag. Math. 34 (1972) (8 pages).Google Scholar
  88. [88]
    (with P. S. Schnare), "A topological characterization of products of compact totally ordered spaces", General Topology and its Appl. 2, 67–73 (1972).MathSciNetCrossRefMATHGoogle Scholar
  89. [89]
    "The generalized Schoenflies theorem for Euclidean n-space", presented at Symposium, Budapest, 1972; mimeographed notes, University of Amsterdam.Google Scholar
  90. [90]
    "Gekleurde en ongekleurde graphen als hulpmiddel bij algebra en meetkunde", mimeographed notes, Math. Centre, Amsterdam VC 26, August, 1972 (6 pages).Google Scholar

Copyright information

© Springer-Verlag 1974

Authors and Affiliations

  • R. H. McDowell
    • 1
  1. 1.Washington UniversitySt. Louis

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