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Cofinality in normal, almost compact spaces
Fleissner, William G. Kulesza, J. Levy, R.
Fleissner, William G.
Kulesza, J.
Levy, R.
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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
coƱnality 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.
Description
This is the published version, also available here: http://dx.doi.org/10.1090/S0002-9939-1991-1072087-1#sthash.G2e2uNs1.dpuf. First published in Proc. AMS. in 1991, published by the American Mathematical Society.
Date
1991-10-01
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American Mathematical Society
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Keywords
NAC space, cofinality
Citation
Fleissner, William G. "Cofinality in normal, almost compact spaces." Proc. AMS. (1991) 113, 2.501-511. http://dx.doi.org/10.1090/S0002-9939-1991-1072087-1.