On collectionwise normality of product spaces. II

Chiba, Keiko

doi:10.1090/S0002-9939-1984-0746108-3

On collectionwise normality of product spaces. II
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Proc. Amer. Math. Soc. 91 (1984), 653-657 Request permission

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.

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The normality of products with a compact or a metric factor