RGη-Closed Sets in Topological Spaces

Hamant Kumar, Naresh Kumar, Vimal Kumar

Abstract: In this paper, a new class of sets called regular generalized η-closed (briefly rgη-closed) sets is introduced and its properties are studied. The relationships among closed, η-closed, s-closed, η-closed, rgη-closed and their generalized closed sets are investigated. Several examples are provided to illustrate the behavior of these new class of sets.

Keywords: η-closed, gη-closed, Πgη-closed and rgη-closed sets