On S*g- -Open Sets In Topological Spaces

Abstract

In this paper, we introduce a new class of sets, namely , s*g- -open sets and we show that the family of all s*g- -open subsets of a topological space from a topology on X which is finer than . Also , we study the characterizations and basic properties of s*g- -open sets and s*g- -closed sets . Moreover, we use these sets to define and study a new class of functions, namely , s*g- -continuous functions and s*g- -irresolute functions in topological spaces . Some properties of these functions have been studied .