Császár, Á. \(\gamma\)-connected sets. (English) Zbl 1049.54021 Acta Math. Hung. 101, No. 4, 273-279 (2003). Summary: It is shown that the concept of a connected set and the essential properties of connected sets can be generalized in the manner that the role of open sets is given to \(\gamma\)-open sets, where \(\gamma\) is a monotonic mapping of the power set. Cited in 36 Documents MSC: 54D05 Connected and locally connected spaces (general aspects) 54A05 Topological spaces and generalizations (closure spaces, etc.) Keywords:\(\gamma\)-connected set; \((\gamma,\gamma')\)-continuous function; \((\gamma,\gamma')\)-open function; semiopen set; preopen set; \(\alpha\)-open set; \(\beta\)-open set PDFBibTeX XMLCite \textit{Á. Császár}, Acta Math. Hung. 101, No. 4, 273--279 (2003; Zbl 1049.54021) Full Text: DOI