On \(S_p\)-Closed Spaces

Abstract

In this paper we introduce a new type of closed spaces called \(S_p\)-closed space. This class of spaces is strictly between s-closed spaces and \(S_c\)-closed spaces. We give some characterizations of this space and investigate relationships to other types of closed spaces. Moreover, we study the image and preimage of \(S_p\)-closed spaces under some special types of functions.