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Paracompactness of Pixley-Roy hyperspaces. II


Author: Hidenori Tanaka
Journal: Proc. Amer. Math. Soc. 85 (1982), 113-118
MSC: Primary 54B20; Secondary 54D18, 54F05
DOI: https://doi.org/10.1090/S0002-9939-82-99999-3
MathSciNet review: 647909
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Abstract: In this paper we will study the paracompactness of Pixley-Roy hyperspaces of products. We will prove that if $ \mathcal{F}\left[ X \right]$ is paracompact (resp. hereditarily paracompact), then $ \mathcal{F}\left[ {{X^2}} \right]$ is paracompact (resp. hereditarily paracompact). This is the positive answer to T. Przymusiński's problem.


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

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-82-99999-3
Keywords: Paracompact, hereditarily paracompact, Pixley-Roy hyperspace, Moore space
Article copyright: © Copyright 1982 American Mathematical Society

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