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r-Realcompact spaces

D. Bhattacharya; Lipika Dey — 2012

Commentationes Mathematicae Universitatis Carolinae

A new generalization of realcompactness based on ultrafilters of regular $F_{σ}$ -subsets is introduced. Its relationship with realcompactness, almost realcompactness, almost* realcompactness, c-realcompactness is examined. Some of the properties of the newly introduced space is studied as well.

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