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Proceedings of the American Mathematical Society

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

 

 

On compactness and sequential compactness


Author: Norman Levine
Journal: Proc. Amer. Math. Soc. 54 (1976), 401-402
MSC: Primary 54D30
DOI: https://doi.org/10.1090/S0002-9939-1976-0405357-X
MathSciNet review: 0405357
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Abstract: Let $ X$ be a compact space of cardinality less than or equal to $ {\aleph _1}$. It is shown that $ X$ is sequentially compact.


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DOI: https://doi.org/10.1090/S0002-9939-1976-0405357-X
Article copyright: © Copyright 1976 American Mathematical Society