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Certain Subsets of Products of Metacompact Spaces and Subparacompact Spaces are Realcompact
Published online by Cambridge University Press: 20 November 2018
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We will say that a space X has property (*) if and only if each discrete subset of X is realcompact; i.e., the cardinality of each discrete subset of X is nonmeasurable. In [8], Shirota shows that a completely regular T1-space X is realcompact if and only if X has property (*) and X is complete with respect to some uniformity. In [7], Moran, using measure theoretic techniques, shows that any normal metacompact T1-space with property (*) is realcompact.
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- Copyright © Canadian Mathematical Society 1972
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