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Proceedings of the American Mathematical Society

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

 

 

Near compactness and separability of symmetrizable spaces


Author: R. M. Stephenson
Journal: Proc. Amer. Math. Soc. 68 (1978), 108-110
MSC: Primary 54E25; Secondary 54G20
DOI: https://doi.org/10.1090/S0002-9939-1978-0458372-6
MathSciNet review: 0458372
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Abstract: Although every feebly compact, Baire, semimetrizable space is separable, we prove here that for every infinite cardinal number n there exists a feebly compact, Baire, symmetrizable Hausdorff space which has no dense subset of cardinality less than n.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1978-0458372-6
Keywords: Symmetrizable, feebly compact, Baire space
Article copyright: © Copyright 1978 American Mathematical Society