Alpha beta pi g-Normal Spaces in Topological Spaces

Hamant Kumar, Umesh Chand, Rajpal Rajbhar

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.

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

How to Cite?: Hamant Kumar, Umesh Chand, Rajpal Rajbhar, "Alpha beta pi g-Normal Spaces in Topological Spaces", Volume 4 Issue 2, February 2015, International Journal of Science and Research (IJSR), Pages: 1531-1534, https://www.ijsr.net/getabstract.php?paperid=SUB151562, DOI: https://dx.doi.org/10.21275/SUB151562

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