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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Number versus size


Author: Stephen Watson
Journal: Proc. Amer. Math. Soc. 102 (1988), 761-764
MSC: Primary 54D15; Secondary 54A25, 54D10
DOI: https://doi.org/10.1090/S0002-9939-1988-0929017-X
MathSciNet review: 929017
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Abstract: We show, for example, that normal collectionwise Hausdorff spaces which are collectionwise normal with respect to families of cardinality $ {\aleph _1}$ are collectionwise normal with respect to any number of copies of $ [0,1]$.

We also show that normal collectionwise Hausdorff spaces are collectionwise normal with respect to scattered paracompact sets.


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DOI: https://doi.org/10.1090/S0002-9939-1988-0929017-X
Article copyright: © Copyright 1988 American Mathematical Society