\(\pi gp\)-Normal Topological Spaces

Abstract

The main aim of this paper is to introduce and study a new stronger version of \(p\)-normality called \(\pi gp\)-normality. We prove that \(\pi gp\)-normality is a topogical property and it is a hereditary property with respect to \(\pi\)-open \(\pi gp\)-closed subspaces.  Some properties, examples, characterizations and preservation theorems of this property are presented.