Rho-closed Sets in Topological Spaces

Abstract

In this paper, We introduce and study new classes of sets called Ï-closed sets(A subset A of (X,Ï„) is called Ï-closed set if pcl(A)⊆int(U) whenever A⊆U and U is g^∼-open in X; g^∼-closed sets was introduced by N.Rajesh et al.) and its weaker form and also their open sets. Moreover, We present new types of continuity called Ï-continuity and its weaker form and investigate some of their fundamental properties.