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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On collectionwise normality of product spaces. I


Author: Keiko Chiba
Journal: Proc. Amer. Math. Soc. 91 (1984), 649-652
MSC: Primary 54B10; Secondary 54D15
MathSciNet review: 746107
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Abstract: In this paper the following result will be obtained: Let $ X$ be a collectionwise normal $ \Sigma $-space (in the sense of Nagami [9]) and $ Y$ a paracompact first countable $ P$-space (in the sense of Morita [8]). Then $ X \times Y$ is collectionwise normal.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1984-0746107-1
PII: S 0002-9939(1984)0746107-1
Keywords: Product space, normal, collectionwise normal, paracompact, $ \Sigma $-space, $ P$-space, first countable
Article copyright: © Copyright 1984 American Mathematical Society