Song, Yan-Kui On \(\mathcal C\)-starcompact spaces. (English) Zbl 1199.54146 Math. Bohem. 133, No. 3, 259-266 (2008). Summary: A space \(X\) is \(\mathcal C\)-starcompact if, for every open cover \(\mathcal U\) of \(X\), there exists a countably compact subset \(C\) of \(X\) such that \(\operatorname {St}(C,{\mathcal U})=X.\) In this paper, we investigate the relations between \(\mathcal C\)-starcompact spaces and other related spaces, and also study topological properties of \(\mathcal C\)-starcompact spaces. Cited in 1 Document MSC: 54D20 Noncompact covering properties (paracompact, Lindelöf, etc.) 54D55 Sequential spaces Keywords:compact space; countably compact space; Lindelöf space PDF BibTeX XML Cite \textit{Y.-K. Song}, Math. Bohem. 133, No. 3, 259--266 (2008; Zbl 1199.54146) Full Text: EuDML EMIS OpenURL