Some Variants of Normal Closure Spaces and The Continuity on Normality Space

Abstract

New generalizations of normality space in closure space such as normal space, semi-normal space and semi generalized-normal space, and we will denote it briefly by (s^cl-normal) and (sg^cl-normal). Also, it describes several notions of its basic properties. In addition, the concept of the continuity on normality space is studied by using of s^cl-normal space with introduction of some important propositions and theorems.