Properties of isocompact spaces in topological groups.

This paper's primary purpose is to seek properties of isocompact spaces by topological groups. In this work, we propose and say that a topological space X has the isoc property if each family of isocompact subsets in X is weakly hereditarily closure-preserving. Our first result shows that each T2 topological group with a locally compact subgroup, where the quotient group is isocompact, is isocompact if it has the isoc property. Our second result provides a necessary and sufficient condition for an ω narrow to be Lindelöf. [ABSTRACT FROM AUTHOR]