On Sg∗w-closed sets and ST∗1/2 spaces in weak structures

Abstract

In 2011, Csaszar introduced the concept of weak structure, in the present paper we introduce some new ´ concepts of Strongly g^∗w-closed (g^∗w-closed, for short) sets in weak structures. Also, we find the relation between this class and the classes of wclosed, gw-closed, and gsw-closed sets in weak structures. We also characterize their basic properties via gw-closed. Finally, we introduce the concepts of ST^∗_1/2 spaces by using the concepts of gw-closed and Sg^∗w-closed sets.