On T1T2-g Closed Sets in Bitopological Spaces

Abstract

In this paper, we introduced and studied a new kind of generalized closed set called τ1τ2-ḡ-closed set in a bitopological space (X, τ1, τ2). The properties of this τ1τ2-ḡ-closed set are studied and compared with some of the corresponding generalized closed sets in general topological spaces and bitopological spaces. We also defined the τ1τ2-ḡ-continuous function and studied some its properties.

On gso-Closed Sets in Topological Spaces

“…Since then many mathematicians introduce and investigate different kind of generalized closed sets in topological spaces. Some recent works on generalized closed sets can be found in [2], [3], [4], [5] and [6]. Continuous functions are one of the core concepts of topological spaces defined in terms of open sets as well as closed sets.…”