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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.

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Keywords: Compact, metrizable, reflection
Article copyright: © Copyright 1988 American Mathematical Society

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