On collectionwise normality of product spaces. II
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- by Keiko Chiba PDF
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Abstract:
In this paper the following results will be obtained. (1) Let $X$ be a closed image of a normal $M$-space and $Y$ a paracompact first countable $P$-space. If $X \times Y$ is normal, then $X \times Y$ is collectionwise normal. (2) Let $X$ be a collectionwise normal space and $Y$ a $\sigma$-locally compact paracompact space. If $X \times Y$ is normal, then $X \times Y$ is collectionwise normal.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 91 (1984), 653-657
- MSC: Primary 54B10; Secondary 54D15
- DOI: https://doi.org/10.1090/S0002-9939-1984-0746108-3
- MathSciNet review: 746108