# Alpha beta pi g-Normal Spaces in Topological Spaces

**Journal**: International Journal of Science and Research (IJSR) (Vol.4, No. 2)

**Publication Date**: 2015-02-05

**Authors** : Hamant Kumar; Umesh Chand; Rajpal Rajbhar;

**Page** : 1531-1534

**Keywords** : regular closed; pi-closed; pi g beta-closed; and pi-open sets; pre pi-closed; pi-continuous; pi g betacontinuous; piirresolute; pi g betairresolute and almost piirresolute functions; pi g beta-normal spaces;

### Abstract

The aim of this paper is to introduce a new class of normal spaces called pi g beta-normal spaces, by using pi g beta-open sets. We prove that pi g beta-normality is a topological property and it is a hereditary property with respect to pi-open, pi g beta-closed subspaces. Further we obtain a characterization and preservation theorems for pi g beta-normal spaces. The aim of this paper is to introduce a new class of normal spaces called pi g beta-normal spaces, by using pi g beta-open sets. We prove that pi g beta-normality is a topological property and it is a hereditary property with respect to pi-open, pi g beta-closed subspaces. Further we obtain a characterization and preservation theorems for pi g beta-normal spaces.

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