Ganster, M. On strongly s-regular spaces. (English) Zbl 0733.54012 Glas. Mat., III. Ser. 25(45), No. 1, 195-201 (1990). Strongly s-regular spaces are introduced and studied. A topological space X is said to be strongly s-regular if for every closed subset \(A\subset X\) and \(x\in X\setminus A\) there exists a regular closed subset F \((F=cl(int F))\) with \(x\in F\) and \(F\cap A=\emptyset\). Strong s- regularity is open-hereditary and productive. Among Hausdorff spaces strong s-regularity is independent both of semiregularity and of almost regularity. Reviewer: E.Giuli (L’Aquila) Cited in 1 ReviewCited in 4 Documents MSC: 54D10 Lower separation axioms (\(T_0\)–\(T_3\), etc.) 54G20 Counterexamples in general topology 54B10 Product spaces in general topology 54B05 Subspaces in general topology Keywords:regular closed sets; Strongly s-regular spaces PDF BibTeX XML Cite \textit{M. Ganster}, Glas. Mat., III. Ser. 25(45), No. 1, 195--201 (1990; Zbl 0733.54012)