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A Baire space extension


Author: R. A. McCoy
Journal: Proc. Amer. Math. Soc. 33 (1972), 199-202
MSC: Primary 54C20
DOI: https://doi.org/10.1090/S0002-9939-1972-0293569-4
MathSciNet review: 0293569
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Abstract: A characterization of Baire spaces is given. Using this characterization, it is shown that every topological space is a dense subspace of some compact Baire space.


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

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  • [2] H. Herrlich, Nicht alle $ {T_2}$-minimalen Räume sind von 2. Kategorie, Math. Z. 91 (1966), 185. MR 32 #6392. MR 0188965 (32:6392)
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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0293569-4
Keywords: Baire space, H-closed space, open filter, open ultrafilter
Article copyright: © Copyright 1972 American Mathematical Society

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