γ*-SEMI-OPEN SETS IN TOPOLOGICAL SPACES

Abstract

The concept of generalized open sets in generalized topological spaces was introduced by A. Csaszar [6,7]. In this paper, we introduce the concept of γ*-semi-open sets and investigate the related topological properties of the associated topologies SO γ* (X) and τ γ . We also introduce the concepts of [Formula: see text]-sets and Λ sγ -sets which generalize g· Λ s -sets and g· ν s -sets respectively introduced by Minguel Caldas and Julian Dontchev [5].