Vol. 2, Issue 9, Part G (2016)

Abstract
In this paper we propose the concept of a new class of functions named strongly g*+b-continuous, perfectly g*+b-continuous, g*+b-closed and open maps in simple extended topological spaces (SETS). Also we intend to define a new class of homeomorphism called g*+b-homeomorphism in SETS. Some of their basic properties and several characterizations of these type of functions are discussed.