Song, Yan-Kui Discretely star-Lindelöf spaces. (English) Zbl 1011.54020 Tsukuba J. Math. 25, No. 2, 371-382 (2001). A space \(X\) is called (discretely) star-Lindelöf if for every open cover \(\mathcal U\) of \(X\) there exists a (discrete closed) countable subset \(B\) of \(X\) such that \(St(B,{\mathcal U})=X\). In this paper the relationships between these spaces and \(\omega_1\)-compact spaces are investigated, and some basic properties for example hereditary properties, mapping properties and product properties of discretely star-Lindelöf spaces are obtained. Reviewer: Shou Lin (Ningde, Fujian) Cited in 4 Documents MSC: 54D20 Noncompact covering properties (paracompact, Lindelöf, etc.) 54B05 Subspaces in general topology 54B10 Product spaces in general topology Keywords:discretely star-Lindelöf; \(\omega_1\)-compact PDF BibTeX XML Cite \textit{Y.-K. Song}, Tsukuba J. Math. 25, No. 2, 371--382 (2001; Zbl 1011.54020) Full Text: DOI OpenURL