Geodesic
r-Realcompact spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 2, pp. 253-267

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A new generalization of realcompactness based on ultrafilters of regular $F_{\sigma}$-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.
A new generalization of realcompactness based on ultrafilters of regular $F_{\sigma}$-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.
Classification : 54D60
Keywords: regular $F_{\sigma}$-subsets; almost realcompactness; almost* realcompactness; r-weak cb; regular Oz; regular countably paracompact 
Bhattacharya, D.; Dey, Lipika. r-Realcompact spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 2, pp. 253-267. http://geodesic.mathdoc.fr/item/CMUC_2012_53_2_a6/
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     author = {Bhattacharya, D. and Dey, Lipika},
     title = {r-Realcompact spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {253--267},
     year = {2012},
     volume = {53},
     number = {2},
     mrnumber = {3017258},
     zbl = {1265.54111},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2012_53_2_a6/}
}
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