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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.

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Cardinal functions on Pixley-Roy hyperspaces
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by Shozo Sakai PDF
Proc. Amer. Math. Soc. 89 (1983), 336-340 Request permission

Abstract:

Some cardinal functions on the Pixley-Roy hyperspace $\mathcal {F}[X]$ of a space $X$ are determined by those on $X$, and conditions of $X$ by cardinal functions from which $\mathcal {F}[X]$ has or has not some properties, e.g. cosmic, paracompact, ccc, etc. are given.
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 89 (1983), 336-340
  • MSC: Primary 54A25; Secondary 54B20, 54D18, 54D20
  • DOI: https://doi.org/10.1090/S0002-9939-1983-0712647-3
  • MathSciNet review: 712647