$(j-i)s{g}_{\kappa }^{\ast }$-closed sets and pairwise semi $t_{\omega }$-axiom in bispaces

Abstract

Here we have introduced the ideas of $(j-i)s{g}_{\kappa }^{\ast }$-closed sets and a semi generalized closed set in a bispace; $i,j=1,2;i\ne j$ and then have studied on pairwise semi $T_0$-axiom, pairwise semi $T_1$-axiom and pairwise semi $T_{\omega }$-axiom. We have investigated some of their topological properties and also established a relation among these axioms under some additional conditions.

12 pages