\mu-\mu^{*} - Connectedness via Hereditary Classes

Abstract

This paper is an attempt to study and introduce the notion of µ-µ * -connected set in generalized topological spaces with a hereditary class. We have also investigate the relationships between * -separated sets, * s -connected sets, c µ * -I -connected sets, c µ * -cµ -connected sets, cµ-I -connected sets, * -I -connected sets. Further we give some representations of the above connected sets via (µ-µ ′ ) -continuity and (µ-µ ′ ) -openness.