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Proceedings of the American Mathematical Society

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Souslin subsets of $ P(\omega)$-spaces


Author: Li Sheng Wu
Journal: Proc. Amer. Math. Soc. 106 (1989), 515-518
MSC: Primary 54D18; Secondary 04A15
DOI: https://doi.org/10.1090/S0002-9939-1989-0999758-8
MathSciNet review: 999758
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Abstract: A space $ X$ is a $ P\left( \omega \right)$-space if and only if $ X$ is countably $ \theta $-refinable and every Souslin subset of $ X$ is a generalized $ {F_\sigma }$-set in $ X$.


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DOI: https://doi.org/10.1090/S0002-9939-1989-0999758-8
Keywords: Souslin subset, generalized $ {F_\sigma }$-set, covering property, $ P\left( \omega \right)$-space
Article copyright: © Copyright 1989 American Mathematical Society

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