Jelić, Milena PS-closed bitopological spaces. (English) Zbl 0622.54023 Mat. Vesn. 38, 299-304 (1986). A bitopological space (X,\({\mathcal T}_ 1,{\mathcal T}_ 2)\) is said to be pairwise S-closed if every \({\mathcal T}_ i\)-semi open covering of X contains a finite subfamily, such that \({\mathcal T}_ j\)-closures of its elements form a covering of the space X, where \(i,j=1,2\), \(i\neq j\). This class of bitopological spaces is introduced, characterized and investigated as a generalization of T. Thompson’s concept of an S- closed space [Proc. Am. Math. Soc. 60(1976), 335-338 (1977; Zbl 0339.54020)]. Among other results the author proves that any pairwise extremally disconnected bitopological space is pairwise S-closed whenever each of its topologies is compact. Reviewer: J.Chvalina MSC: 54E55 Bitopologies 54D25 “\(P\)-minimal” and “\(P\)-closed” spaces 54G05 Extremally disconnected spaces, \(F\)-spaces, etc. Keywords:pairwise S-closed; \({\mathcal T}_ i\)-semi open covering; pairwise extremally disconnected bitopological space Citations:Zbl 0339.54020 PDFBibTeX XMLCite \textit{M. Jelić}, Mat. Vesn. 38, 299--304 (1986; Zbl 0622.54023)