Certain Subsets of Products of Metacompact Spaces and
Subparacompact Spaces are Realcompact
1972 ◽
Vol 24
(5)
◽
pp. 825-829
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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.
1983 ◽
Vol 35
(2)
◽
pp. 227-235
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1977 ◽
Vol 23
(1)
◽
pp. 46-58
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2009 ◽
Vol 30
(3)
◽
pp. 401-413
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Keyword(s):
2001 ◽
Vol 63
(1)
◽
pp. 101-104