• On b*ĝ - continuous functions and b*ĝ - open maps in Topological Spaces

Abstract

In this paper, we define new class of functions namely b*ĝ-continuous functions and b*ĝ-open maps and we prove some of their basic properties. Also, we introduce a new class of b*ĝ-homeomorphisms and we prove some of their relationship among other homeomorphisms. Throughout this paper f: (X, τ) → (Y, σ) is a function from a topological space (X, τ) to a topological space (Y, σ).