On quasi semi-θ-closed sets in topology

Abstract

Levine [14] introduced and investigated the notion of generalized closed set. It is the object of this paper is continue the study of the notion of generalized closed set called quasi semi-θ-closed set [3]. This class was obtained by generalizing semi-θ-closed sets [17] and is a notion independent of closed sets. We also study the class of semi-θ-T _1/2 spaces [4] and show that this class is contained in the class of semi-T _1/2spaces introduced by Maki et al. [17].