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Proceedings of the American Mathematical Society

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

 

 

Realcompactness and partitions of unity


Authors: G. De Marco and R. G. Wilson
Journal: Proc. Amer. Math. Soc. 30 (1971), 189-194
MSC: Primary 54.50
MathSciNet review: 0281155
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Abstract: A characterization of realcompactness in terms of locally finite open coverings and associated partitions of unity is given. Another proof of two well-known theorems of Katětov and Shirota is obtained.


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DOI: https://doi.org/10.1090/S0002-9939-1971-0281155-0
Keywords: Partition of unity, nonmeasurable cardinal, Cauchy z-filter
Article copyright: © Copyright 1971 American Mathematical Society