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
coñnality of an arbitrary noncompact NAC space is defined, and the extent
to which cofinality in NAC spaces behaves like cofinality of ordinal spaces is
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.
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