On *gs- Homeomorphism in Topological Spaces

Abstract

In chapter 7 the author studies with the important concept gsΛhomeomorphisms by using gsΛ-open sets. It is weaker than homeomorphisms.The notion of homeomorphisms plays a dominant role in topology and so many authors introduced varies types of homeomorphisms in topological spaces. In 1995, Maki, Devi and Balachandran introduced the concepts of semigeneralized homeomorphisms and generalized semi-homeomorphisms and studied some semi topological properties. Devi and Balachandran introduced a generalization of α-homeomorphism in 2001. gsΛ*-homeomorphism in topological spaces is also introduced and the group structure of the set of all gsΛ*-homeomorphisms are also investigated the group structure of the set of all gsΛ*-homeomorphisms.