Devi, R.; Maki, H.; Balachandran, K. Semi-generalized closed maps and generalized semi-closed maps. (English) Zbl 0787.54015 Mem. Fac. Sci., Kochi Univ., Ser. A 14, 41-54 (1993). P. Sundaram [Ph.D. Thesis, Bharathian University Combatore (1991)] introduced the concept of semi-generalized continuous maps and generalized semi-continuous maps. In this paper the authors introduce semi-generalized closed maps and generalized semi-continuous closed maps and study some of their basic properties. They show for example that under a continuous generalized semi-continuous closed surjection the image of a normal space is \(s\)-normal and that under a semi-open continuous generalized semi-closed surjection the image of a regular space is \(s\)-regular. They also characterize the class of \(T_{1/2}\) spaces by using semi-closed sets and generalized semi-closed sets. Reviewer: E.Duda (Coral Gables) Cited in 1 ReviewCited in 8 Documents MSC: 54C10 Special maps on topological spaces (open, closed, perfect, etc.) Keywords:semi-generalized closed maps; generalized semi-continuous closed maps PDFBibTeX XMLCite \textit{R. Devi} et al., Mem. Fac. Sci., Kochi Univ., Ser. A 14, 41--54 (1993; Zbl 0787.54015)