On generalized δ-semiclosed sets in topological spaces

The aim of this paper is to introduce the class of gδs-closed sets and obtain the characterizations of T3/4 space due to Dontchev and Ganster [Dontchev J, Ganster M. On δ-generalized closed set and T3/4-spaces. Mem Fac Sci Kochi Univ Ser A (Math) 1996;17:15-31]. We also introduce the notion of gδs-continuity and investigate the relationships between it and other types of continuity.