Strongly g ∗ -closed sets and Strongly T ∗ 1 2 spaces in bitopological spaces

Abstract

This paper introduces with a new class of sets called ij-strongly g∗-closed. We prove that this lies between the class of τj -closed sets andthe class of ij-g∗-closed sets. Also we find some basic properties andapplications of ij-strongly g∗-closed sets. We also introduce and studya new class of spaces, namely ij-ST ∗12spaces.