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Proceedings of the American Mathematical Society

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A note on subparacompact spaces


Author: R. E. Hodel
Journal: Proc. Amer. Math. Soc. 25 (1970), 842-845
MSC: Primary 54.50
DOI: https://doi.org/10.1090/S0002-9939-1970-0263024-4
MathSciNet review: 0263024
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Abstract: The main result in this paper states that every metacompact space in which every closed set is a $ {G_\delta }$ is subparacompact. The class of countably subparacompact spaces is introduced and several results about such spaces are proved.


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DOI: https://doi.org/10.1090/S0002-9939-1970-0263024-4
Keywords: Metacompact, $ {G_\delta }$-set, subparacompact, screenable, countably subparacompact, countably metacompact
Article copyright: © Copyright 1970 American Mathematical Society

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