I_gn -CLOSED SETS and Its Properties

Abstract

In recent years a number of generalizations of open sets have been developed by many mathematicians.  In 1963, Levine [5] introduced the notion of semi-open sets in topological spaces.  In 1984, Andrijevic [1] introduced some properties of the topology of α-sets. In 2016, Sayed and Mansour introduced [11] new near open set in Topological Spaces. Motivated by various open and closed sets discussed in the previous literature, in this paper a new class of sets called gη-closed sets has been introduced using the concept of η-open sets by Subbulakshmiet al [12]. Further we study the basic properties of gη-closed sets.