$I{g}^{\ast }$-closed sets and its certain properties in $\sigma$-spaces with respect to an ideal

Abstract

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

arXiv comment12 pages