A nonparacompact space which admits a closure-preserving cover of compact sets
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- by H. B. Potoczny PDF
- Proc. Amer. Math. Soc. 32 (1972), 309-311 Request permission
Abstract:
In [1], Tamano asked whether or not a space which is the union of a closure-preserving family of compact subsets must be paracompact. It is the purpose of this paper to present a space which admits such a cover, is completely regular and ${T_2}$, has a basis consisting of open and closed sets, yet fails to be even normal.References
- Hisahiro Tamano, A characterization of paracompactness, Fund. Math. 72 (1971), no. 3, 189–201. MR 296897, DOI 10.4064/fm-72-3-189-201
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 32 (1972), 309-311
- MSC: Primary 54.50
- DOI: https://doi.org/10.1090/S0002-9939-1972-0288727-9
- MathSciNet review: 0288727