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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The epireflective hull of the category of $T_{1}$ dispersed spaces
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by V. Neumann Lara and R. G. Wilson
Proc. Amer. Math. Soc. 80 (1980), 306-310
DOI: https://doi.org/10.1090/S0002-9939-1980-0577765-9

Abstract:

An internal characterization is given of those spaces which can be embedded in products of ${T_1}$ dispersed spaces.
References
  • Horst Herrlich, On the concept of reflections in general topology, Contributions to Extension Theory of Topological Structures (Proc. Sympos., Berlin, 1967) Deutscher Verlag Wissensch., Berlin, 1969, pp. 105–114. MR 0284986
  • Darrell W. Hajek and Richard G. Wilson, The non-simplicity of certain categories of topological spaces, Math. Z. 131 (1973), 357–359. MR 321002, DOI 10.1007/BF01174910
  • Victor Neumann Lara, Autonomous subsets of topological spaces, An. Inst. Mat. Univ. Nac. Autónoma México 19 (1979), no. 2, 177–184 (1980). MR 615259
  • Prabir Roy, A countable connected Urysohn space with a dispersion point, Duke Math. J. 33 (1966), 331–333. MR 196701
  • Stephen Willard, General topology, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1970. MR 0264581
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Bibliographic Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 80 (1980), 306-310
  • MSC: Primary 54B30; Secondary 54B15
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0577765-9
  • MathSciNet review: 577765