On certain types of sets in ideal topological spaces

Abstract

In the present article we introduce certain typical sets in an ideal topological space, some such corresponding versions in topological spaces being already there in the literature. We prove several properties of the introduced classes of sets, and finally as application, we initiate the study of a kind of separation axiom, termed *−T12$* - T_{{1 \over 2}}$ -property.

Keywords

• g-closed
• *-g-closed
• ∧*-set
• g.∧*-set
• *-t½-space