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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

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.
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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