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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] H. Herrlich, On the concept of reflections in general topology, Contributions to Extension Theory of Topological Structures (Proc. Sympos., Berlin, 1967), Deutsch. Verlag Wissenschaften, Berlin, 1969, pp. 105-114. MR 0284986 (44:2210)
  • [2] D. W. Hajek and R. G. Wilson, The non-simplicity of certain categories of topological spaces, Math. Z. 131 (1973), 357-359. MR 0321002 (47:9535)
  • [3] V. Neumann-Lara, Autonomous subsets of topological spaces, An. Inst. Mat. Univ. Nac. Autónoma México 19 (1979). MR 615259 (82k:54026)
  • [4] P. Roy, A countable connected Urysohn space with a dispersion point, Duke Math. J. 33 (1966), 331-333. MR 0196701 (33:4887)
  • [5] S. Willard, General topology, Addison-Wesley, Reading, Mass., 1968. MR 0264581 (41:9173)

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

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