Paracompactness of Pixley-Roy hyperspaces. II
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- by Hidenori Tanaka PDF
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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
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Additional Information
- © Copyright 1982 American Mathematical Society
- 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