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

A note on spaces with normal product with some compact space


Author: R. W. Thomason
Journal: Proc. Amer. Math. Soc. 44 (1974), 509-510
MSC: Primary 54D15
MathSciNet review: 0367923
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Abstract: For compact $ X$ with $ \log \vert X\vert \geqq \aleph ,X \times Z$ is normal only if $ Z$ is $ \aleph $-collectionwise normal. If $ Z$ is also semimetric or $ \aleph $-metacompact, it is then $ \aleph $-paracompact.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0367923-8
PII: S 0002-9939(1974)0367923-8
Keywords: Compact, normal, AE, $ \aleph $-collectionwise normal, $ \aleph $-paracompact
Article copyright: © Copyright 1974 American Mathematical Society