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TOPO 72 — General Topology and its Applications pp 1–15Cite as

The works of J. de groot

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List of publications of Professor J. de Groot

  1. "Mededeling betreffende het lichaam der rationale functies", Hand. 27e Ned. Nat. ¢ Gen. Cong., 93–94 (1941).

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  2. "Sätze über topologische Erweiterung von Abbildungen", Proc. Kon. Ned. Akad. Wet. 44, 934–938 (1941).

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  3. "Bemerkungen über die Analytische Fortesetzung in bewertete Körper", Proc. Kon. Ned. Akad. Wet. 45, 347–349 (1942).

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  4. (with F. Loonstra), "Topologische Eigenschaften bewertete Körper", Proc. Kon. Ned. Akad. Wet. 45, 658–664 (1942).

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  5. "Bemerkung zum Problem der topologischen Erweiterung von Abbildungen", Proc. Kon. Ned. Akad. Wet. 45, 655–657 (1942).

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  6. "On the extension of continuous functions", Proc. Kon. Ned. Akad. Wet. 45, 842–843 (1942).

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  7. "Topologische studiën", Thesis, Groningen, October (1942), (102 pages).

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  8. "Über die Fortsetzung differenzierbarer Funktionen", Mathematica Zutphen, B12, 15–24 (1943).

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  9. "Topological classification of all closed countable and continuous classification of all countable pointsets", Proc. Kon. Ned. Akad. Wet. 48, 237–248 (1945).

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  10. "Some topological problems", Proc. Kon. Ned. Akad. Wet. 49 = Indag. Math. 8, 11–17 (1946).

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  11. "Space groups and their axioms", Proc. Kon. Ned. Akad. Wet. 49 = Indag. Math. 8, 53–58 (1946).

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  12. "A theorem concerning analytic continuation I", Proc. Kon. Ned. Akad. Wet. 49 = Indag. Math. 8, 110–119 (1946).

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  13. "A theorem concerning analytic continuation II", Proc. Kon. Ned. Akad. Wet. 49 = Indag. Math. 8, 496–504 (1946).

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  14. "Continuous classification of all microcompact O-dimensional spaces", Proc. Kon. Ned. Akad. Wet. 49 = Indag. Math. 8, 337–342.

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  15. "A note on O-dimensional spaces", Proc. Kon. Ned. Akad. Wet. 50 = Indag. Math. 9, 94–98 (1947).

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  16. "Topological characterization of all subsets of the real number system", Proc. Kon. Ned. Akad. Wet. 50 = Indag. Math. 9, 387–395 (1947).

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  17. "Topologie", Cursus Rotterdam, 1947 (94 pages, MC syllabus).

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  18. "Local connectedness and quasiorder", Proc. Kon. Ned. Akad. Wet. 51 = Indag. Math. 10, 313–318 (1948).

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  19. "Voordrachten over topologie voor dispuut Thomas Stieltjes", Math. Centre, 1948 (3 pages).

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  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).

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  21. "Colloquium Topologie", Math. Centre, Ansterdam (1949–51), incomplete.

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  22. "Fantasie van punt tot punt", inaugurele rede Technische Hogeschool Delft, Noordhoff-Groningen, 1949.

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  23. "Realizations under continuous mappings", Proc. Kon. Ned. Akad. Wet. 53 = Indag. Math. 12, 483–492 (1950).

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  24. "The dimension concept and dimension zero, zeven voordrachten over topologie", Centrumreeks No. 1, Math. Centrum, Amsterdam, 26–35 (1950).

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  25. "Decomposition spaces I", Proc. Kon. Ned. Akad. Wet. 54, 109–115 (1951).

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  26. "Tijd onder mathematisch aspect", Inaugurele rede, Univ. van Amsterdam, Noord Hollandse Uitgeversmaatschappij, Amsterdam, 1952.

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  27. Handleiding Analyse, Delftse Uitg. Mij, 1953 (159 pages).

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  28. Het Congruentiebegrip, Faraday, 1954 (1 page).

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  29. (with T. Dekker), "Free subgroups of the orthogonal group", Comp. Math. 12, 134–136 (1954).

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  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).

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  31. (with T. Dekker), "Decompositions of a sphere", Proc. Int. Congress, Amsterdam, 171–175 (1954).

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  32. "On Cohen's topological characterization of sets of real numbers", Proc. Kon. Ned. Akad. Wet. 58 = Indag. Math. 17, 33–35 (1955).

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  33. "On a compactness criterion of Freudenthal", Proc. Kon. Ned. Akad. Wet. 58 = Indag. Math. 17, 130–131 (1955).

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  34. (with H. de Vries), "A note on non-Archimedean metrizations", Proc. Kon. Ned. Akad. Wet. 58 = Indag. Math. 17, 222–224 (1955).

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  35. "Continuous mappings of a certain family", Fund. Math. 42, 203–206 (1955).

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  36. "A system of continuous, mutually non-differentiable functions", Math. Zeitschr. 64, 192–194 (1956).

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  37. "On some problems of Borsuk concerning a hyperspace of compact sets", Indag. Math. 18, 95–103 (1956).

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  38. "Orthogonal isomorphic representations of free groups", Can. J. Math. 8, 256–262 (1956).

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  39. (with T. Dekker), "Decompositions of a sphere", Fund. Math. 43, 185–194 (1956).

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  40. "An isomorphism criterion for completely decomposable abelian groups", Math. Ann. 132, 328–332 (1956).

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  41. "Non-archimedean metrics in topology", Trans. Amer. Math. Soc., 948–953 (1956).

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  42. (with Ph. Dwinger), "On the axioms of Baer and Kurosh in modular lattices", Indag. Math. 18, 596–601 (1956).

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  43. "Indecomposable abelian groups", Proc. Kon. Ned. Akad. Wet. 60 = Indag. Math. 19, 137–145 (1957).

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  44. "Equivalent abelian groups", Can. J. Math. 9, 291–297 (1957).

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  45. "On a metric that chatacterizes dimension", Can. J. Math. 9, 511–513 (1957).

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  46. (with H. de Vries), "Convex sets in projective space", Compos. Math. 13, 113–118 (1957).

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  47. "Algemene topologie" (a series of lectures during Spring, 1957), Math. Centre, Amsterdam (12 pages, incomplete).

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  48. "Rigid Groups", Mimeographed notes, University of Amsterdam, January, 1957.

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  49. (with H. de Vries), "Metrization of a set which is mapped into itself", Quart. J. Math. 9, 144–148 (1958).

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  50. "Some special metrics in general topology", Coll. Math. 6, 283–286 (1958).

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  51. (with R. J. Wille), "Rigid continua and topological group pictures", Arch. der Math. 9, 441–446 (1958).

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  52. (with H. de Vries), "Indecomposable abelian groups with many automorphisms", Nw. Arch. voor Wisk. 63(VI), 55–58 (1958).

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  53. "Groups represented by homeomorphism groups I", Math. Ann. 138, 80–102 (1959).

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  54. "The action of a locally compact group on a metric space", Nw. Arch. voor Wisk. 3(VII), 70–74 (1959).

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  55. "Seminar notes on compactification and dimension in metric spaces", mimeographed notes, 1960.

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  56. (with R. H. McDowell), "Extension of mappings on metric spaces", Fund. Math. 48, 251–263 (1960).

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  57. (with A. H. Copeland, Jr.), "Linearization of a homeomorphism", Math. Ann. 144, 80–92 (1961).

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  58. "Linearization of mappings", Proc. Top. Symp., Prague, 191–193 (1961).

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  59. (with J. M. Aarts), "A case of colouration in the four colour problem", Nw Archief voor Wisk 11, 10–18 (1963).

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  60. (with R. H. McDowell), "Autohomeomorphism groups of O-dimensional spaces", Comp. Math. 15, 203–209 (1963).

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  61. "Subcompactness and the Baire Category Theorem", Proc. Kon. Ned. Akad. Wet. 66 = Indag. Math. 25, 761–767 (1963).

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  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).

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  63. "Additive groups of integer-valued functions over topological spaces", Proc. of the Coll. on Abelian groups, Tihany (Hungary)

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  64. "Discrete subspaces of hausdorff spaces", Bull. de l'acad. Pol. des Sc. Vol. XIII 8, 537–544 (1965).

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  65. (with T. Nishiura), "Inductive compactness as a generalization of semicompactness", Fund. Math. 58, 201–218 (1966).

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  66. (with G. E. Strecker and E. Wattel), "The compactness operator in general topology", Proc. Top. Symp., Prague, 161–163 (1966).

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  67. "An isomorphism principle in general topology", Bull. Amer. Math. Soc. 73, 365–367 (1957).

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  68. (with R. H. McDowell), "Locally connected spaces and their compactifications I", J. Math. 11, 353–364 (1967).

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  69. (with M. A. Maurice), "On the existence of rigid compact ordered spaces", Proc. Amer. Math. Soc. 19, 844–846 (1968).

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  70. (with G. E. Strecker, E. Wattel and H. Herrlich), "Strengthening Alexander subbase theorem", Duke Math. J. 35, 671–676 (1968).

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  71. (with P. C. Baayen), "Linearization of locally compact transformation groups in Hilbert space", Math. Systems Theory 2, 363–379 (1968).

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  72. (with G. A. Jensen and A. Verbeek), "Superextensions", ZW 1968-017, Math. Centre, Amsterdam (33 pages).

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  73. (with J. M. Aarts), "Complete regularity as a separation axiom", Canad. J. Math. 21, 96–105 (1969).

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  74. "Supercompactness and superextensions", Proc. First Symp. on Ext. Theor. of Top. Struct., Berlin (1967) VEB (1969).

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  75. (with H. Herrlich, G. E. Strecker and E. Wattel), "Compactness as an operator", Comp. Math. 21, 349–375 (1969).

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  76. (with J. Nagata), "Lectures on dimension theory for infinite dimensional spaces", University of Florida at Gainesville, mimeographed notes (27 pages).

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  77. "Topological Hilbert space and the dropout effect", (talk at Math. Centre), ZW 1969-016, Math. Centre, Amsterdam (7 pages).

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  78. (with J. M. Aarts and R. H. McDowell), "Cocompactness", Nieuw. Arch. voor Wisk. (3)XVIII, 2–15 (1970).

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  79. (with J. M. Aarts and R. H. McDowell), "Cotopology for metrizable spaces", Duke Math. J. 37, 291–295 (1970).

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  80. (with G. A. Jensen and A. Verbeek), "Superextensions", Proc. Top. Symp. Herceg Novi 1968, Yugoslavia (1970).

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  81. "Connectedly generated spaces", Proc. Top. Symp. Herceg Novi 1968, Yugoslavia, 171–175 (1970).

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  82. "Some results on local homogeneity", unpublished seminar notes, University of Florida at Gainesville, 1970.

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  83. "On the topological characterization of Dn, En, Sn and Pn", unpublished notes, University of Amsterdam, November 1970.

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  84. "Topological characterization of metrizable cubes", mimeographed notes, June 1971, to be published in Gedenkband Hausdorff VEB.

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  85. "Andere Modellen voor ruimte en tijd", voordracht Ned. Kon. Akad. Wet. 80 (1971).

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  86. "On the topological characterization of manifolds", preprint, University of Amsterdam (presented at the Top. Symp. Prague, September 1971).

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  87. (with J. L. Hursch and G. A. Jensen), "Local connectedness and other properties of GA compactifications", Indag. Math. 34 (1972) (8 pages).

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  88. (with P. S. Schnare), "A topological characterization of products of compact totally ordered spaces", General Topology and its Appl. 2, 67–73 (1972).

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  89. "The generalized Schoenflies theorem for Euclidean n-space", presented at Symposium, Budapest, 1972; mimeographed notes, University of Amsterdam.

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  90. "Gekleurde en ongekleurde graphen als hulpmiddel bij algebra en meetkunde", mimeographed notes, Math. Centre, Amsterdam VC 26, August, 1972 (6 pages).

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Authors and Affiliations

  1. Washington University, 63130, St. Louis, Missouri

    R. H. McDowell

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  1. R. H. McDowell
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Richard A. Alò Robert W. Heath Jun-iti Nagata

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© 1974 Springer-Verlag

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McDowell, R.H. (1974). The works of J. de groot. In: Alò, R.A., Heath, R.W., Nagata, Ji. (eds) TOPO 72 — General Topology and its Applications. Lecture Notes in Mathematics, vol 378. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068456

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  • DOI: https://doi.org/10.1007/BFb0068456

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