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Proceedings of the American Mathematical Society

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A conjecture on compact Fréchet spaces


Author: Hao Xuan Zhou
Journal: Proc. Amer. Math. Soc. 89 (1983), 326-328
MSC: Primary 54D30; Secondary 03E50, 54D55
MathSciNet review: 712645
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Abstract: Let $ X$ be a compact Hausdorff space. $ X$ is Fréchet if every feebly compact subset is closed in $ X$. Under MA, the converse is false.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1983-0712645-X
Keywords: Fréchet spaces, feebly compact
Article copyright: © Copyright 1983 American Mathematical Society