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Proceedings of the American Mathematical Society

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Cardinal functions on Pixley-Roy hyperspaces


Author: Shozo Sakai
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
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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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DOI: https://doi.org/10.1090/S0002-9939-1983-0712647-3
Article copyright: © Copyright 1983 American Mathematical Society

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