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The epireflective hull of the category of $ T\sb{1}$ dispersed spaces

Authors: V. Neumann Lara and R. G. Wilson
Journal: Proc. Amer. Math. Soc. 80 (1980), 306-310
MSC: Primary 54B30; Secondary 54B15
MathSciNet review: 577765
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Abstract: An internal characterization is given of those spaces which can be embedded in products of $ {T_1}$ dispersed spaces.

References [Enhancements On Off] (What's this?)

  • [1] Horst Herrlich, On the concept of reflections in general topology, Contributions to Extension Theory of Topological Structures (Proc. Sympos., Berlin, 1967) Deutsch. Verlag Wissensch., Berlin, 1969, pp. 105–114. MR 0284986
  • [2] Darrell W. Hajek and Richard G. Wilson, The non-simplicity of certain categories of topological spaces, Math. Z. 131 (1973), 357–359. MR 0321002
  • [3] Victor Neumann Lara, Autonomous subsets of topological spaces, An. Inst. Mat. Univ. Nac. Autónoma México 19 (1979), no. 2, 177–184 (1980). MR 615259
  • [4] Prabir Roy, A countable connected Urysohn space with a dispersion point, Duke Math. J. 33 (1966), 331–333. MR 0196701
  • [5] Stephen Willard, General topology, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1970. MR 0264581

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Keywords: Dispersed space, epireflection, autonomous subset
Article copyright: © Copyright 1980 American Mathematical Society