Disconnected Topology Space

Abstract

A more general definition of extremally µ-disconnected generalized topological space [3] is introduced and its properties are studied. We have further improved the definitions of generalized open sets [1] and upper(lower) semi-continuous functions defined for a generalized topological space in [5]. In this generalized framework we obtain the analogues of results in [1, 3, 5]. Examples of extremally µ-disconnected generalized topological spaces are given.