Abstract

In this paper, we define and study about a new type of Nano generalized closed set called $N\hat{g}^{\ast}s-$closed sets in nano topological space. The relationship of $N\hat{g}^{\ast}s-$closed sets with other known Nano generalized closed sets and the characteristics of $N\hat{g}^{\ast}s-$interior, $N\hat{g}^{\ast}s-$exterior, $N\hat{g}^{\ast}s-$closure, $N\hat{g}^{\ast}s-$boundary and $N\hat{g}^{\ast}s-$border are studied.

Keywords and Phrases

$N\hat{g}^*s-$closed sets, $N\hat{g}^{\ast}s-$interior, $N\hat{g}^{\ast}s-$exterior,\\ $N\hat{g}^{\ast}s-$clouser, $N\hat{g}^{\ast}s-$boundary and $N\hat{g}^{\ast}s-$border.

A.M.S. subject classification

54A05, 54A10.

.....