Abstract

The aim of this paper is to introduce new spaces namely $\alpha gs\gamma-T_i$ $(i=0,1,2)$ and $\alpha gs_\gamma-T_i'$ $(i=0,1,2)$ in topological space by using $\alpha gs-$open sets and $\alpha gs\gamma-$open sets respectively. Also we introduce $\alpha gs\gamma-T_{1/2}$ space and obtain the interrelations among the newly defined spaces.

Keywords and Phrases

Topological space, $\alpha gs\gamma-$open set, operation, separation axioms.

A.M.S. subject classification

54A05, 54D10.

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