$ Ig^*$-closed sets and its certain properties in $ \sigma $-spaces with respect to an ideal

Abstract

Here we have introduced and studied the idea of $ Ig^*$-closed set with respect to an ideal and investigated some of its properties in Alexandroff spaces. We have also introduced $ Ig^*$-$T_0 $ axiom, $ Ig^*$-$T_1$ axiom, $ Ig^*$-$T_\omega $ axiom and explored a relation among them