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almost* realcompact

Last-modified: 2010-11-29 (月) 21:35:33

Definition Edit

Let E be an ultrafilter of cozero sets and let F denote the collection of the closures of all elements in E. A Tychonoff space is called almost* realcompact if whenever E has ccip, F has a nonempty intersection.

Property Edit

Reference Edit

John J. Schommer and Mary Anne Swardson, Almost* realcompactness, Commentationes Mathematicae Universitatis Carolinae, Vol.42 (2001), No.2, 383-392.