$g^{\ast}s^{\ast}$ - Closed Sets in Topological Spaces

Abstract

 In this paper, a new class of sets, namely $g^{\ast}s^{\ast}$-closed sets was introduced and some of their properties were studied. Further the notion of $g^{\ast}s^{\ast}$-continuous maps, $g^{\ast}s^{\ast}$-irresolute maps, $Tb^*$-spaces, $gTb^*$-spaces, $^{*}gTb^*$-spaces,$g^*s^*$-compactness, $g^*s^*$-connectedness were introduced and its properties are investigated.