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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Cofinality in normal almost compact spaces


Authors: W. Fleissner, J. Kulesza and R. Levy
Journal: Proc. Amer. Math. Soc. 113 (1991), 503-511
MSC: Primary 54D30
MathSciNet review: 1072087
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Abstract: A regular space is said to be a NAC space if, given any pair of disjoint closed subsets, one of them is compact. The standard example of a noncompact NAC space is an ordinal space of uncountable cofinality. The cofinality of an arbitrary noncompact NAC space is defined, and the extent to which cofinality in NAC spaces behaves like cofinality of ordinal spaces is discussed.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1072087-1
PII: S 0002-9939(1991)1072087-1
Keywords: NAC space, cofinality
Article copyright: © Copyright 1991 American Mathematical Society