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nearly realcompact

Last-modified: 2010-11-19 (金) 18:41:37

Definition Edit

A topological space X is said to be nearly realcompact iff βX-νX is dense in βX-X, where νX and βX denote the Hewitt realcompactification and the Stone-Cech compactification of X, respectively.

Property Edit

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Reference Edit

  • J. J. Shommer, Relatively realcompact sets and nearly pseudocompact spaces, Comment. Math. Univ. Calorin. 34,2 (1993) 375-382.