Unification of maximality and minimality of open and μ-open sets

Abstract

In this paper, we introduce and study the notions of maximal and minimal generalized open sets of a GTS (X, μ) with respect to open sets of a topological space (X, τ ) along with the notions of maximal and minimal open sets of a topological space (X, τ ) with respect to generalized open sets of a GTS (X, μ). We observe that contrary to maximal and minimal μ-open sets of a GTS (X, μ), the unied notions of maximality and minimality of generalized open sets behave differently.