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Displaying similar documents to “A note on semiregular and nearly regular spaces”

r-Realcompact spaces

D. Bhattacharya, Lipika Dey (2012)

Commentationes Mathematicae Universitatis Carolinae

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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.