Abstract
In this paper, the notion of an operator gamma on a supra topological space (X, mu) is studied and then utilized to analyze supra gamma-open sets. The notions of mu(gamma)-g.closed sets on the subspace are introduced and investigated. Furthermore, some new mu(gamma)-separation axioms are formulated and the relationships between them are shown. Moreover, some characterizations of the new functions via operator gamma on mu are presented and investigated. Finally, we give some properties of S-(gamma,S-beta)-closed graph and strongly S-(gamma,S-beta)-closed graph.