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Proceedings of the American Mathematical Society

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

 

 

An empty class of nonmetric spaces


Author: Alan Dow
Journal: Proc. Amer. Math. Soc. 104 (1988), 999-1001
MSC: Primary 54E35; Secondary 54E45
MathSciNet review: 964886
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Abstract: Let CSSM be the class of compact nonmetrizable spaces in which every subspace of cardinality at most $ {\omega _1}$ is metrizable. We show that CSSM is empty.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0964886-9
Keywords: Compact, metrizable, reflection
Article copyright: © Copyright 1988 American Mathematical Society