Alpha beta pi g-Normal Spaces in Topological Spaces

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Alpha beta pi g-Normal Spaces in Topological Spaces

Journal Title: International Journal of Science and Research (IJSR) - Year 2015, Vol 4, Issue 2

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. "

Authors and Affiliations

Keywords

regular closed pi-closed pi g beta-closed and pi-open sets; pre pi-closed pi-continuous pi g beta–continuous pi–irresolute pi g beta–irresolute and almost pi–irresolute functions; pi g beta-normal spaces

EP ID EP356516
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