τ-Generalized Homeomorphism in Topological Spaces

A.Pushpalatha et al [11] introduced the concept of *-g-closed set in topological spaces. S.Eswaran and A.Pushpalatha [6] introduced and studied the properties of *-generalized continuous maps and *-gc-irresolute maps in topological spaces. In this paper, we introduce and study a new class of maps called -generalized open maps and the notion of generalized homeomorphism and -gchomeomorphism in topological spaces. General Terms 2000 Mathematics Subject Classification: 54A05.