New Form Of Continuous Functions In Topological Spaces

Abstract

In this paper a new class of functions called semi maximal continuous, semi maximal irresolute, semi maximal semi continuous, super maximal semi continuous and super semi maximal continuous functions are introduced and investigated. A function ¦: X ® Y is said to semi maximal continuous if for every maximal open set M in Y, ¦^-1 (M) is semi maximal open set in X. During this process, some of their properties are obtained.

2010 Mathematics Subject Classification: 54A05, 54C05, 54C08