Applications of some operators on supra topological spaces

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

[学科分类] 外科医学

[关键词] supra topology;operator γ on μ;μγ-g.closed sets;operator on subspace ST;μγ-separation axioms;S(γ;β)-continuous functions;S(γ;β)-closed and strongly S(γ;β)-closed graphs