Set-Menger and related properties
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DOI: 10.1016/j.topol.2019.106996
Abstract: Abstract In this work, we consider new types of covering properties called set-Menger, set-Rothberger, set-Hurewicz and set-Gerlits-Nagy. We investigate the relationships between set-Mengerness and some other Menger-type covering properties (such as Mengerness, weak Mengerness, quasi-Mengerness)… read more here.
Keywords: mengerness; related properties; properties set; set menger ... See more keywords
Remarks on set-Menger and related properties
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DOI: 10.1016/j.topol.2020.107278
Abstract: Abstract In this note we prove that the set-Menger, set-Hurewicz and set-Rothberger properties, recently introduced in [1] , are actually another view of the Menger, Hurewicz and Rothberger properties, while the weakly set-Menger and weakly… read more here.
Keywords: related properties; rothberger properties; set menger; remarks set ... See more keywords