On supra semi open sets and some applications on topological spaces

Abstract

The purpose of this paper is to study the properties of a new class of generalized supra open sets called supra  semi open. The notions of supra semi interior, supra semi closure and supra semi boundary operators are introduced and investigated. Based on the supra semi open sets, new types of supra continuous, supra open, supra closed and supra homeomorphism maps are presented and studied. In particular, the equivalent conditions for these maps are given. Some examples are included to illustrate the main results.