On (gg)*- Closed Sets in Topological Spaces

Abstract

In this paper, we introduce a new class of closed sets called generalization of generalized star closed sets (briefly (gg)* -closed) in topological Spaces. A subset A of a topological space (X , τ) is called (gg)* -closed if U contains regular closure of A whenever U contains A and U is gg-open in (X , τ). We studied the relation of this set with some of the other closed and generalized closed sets and some of the characteristics, of (gg)*-closed sets have been investigated and studied.