REGULAR GENERALIZED CLOSED SET IN THE CLOSURE SPACE

Abstract

This paper is to study the interpretation of regular generalized closed set in the closure space, and we will denote it briefly by (rgcl - closed). Also, it describes several notions of its basic properties. The characteristics of (rgcl - closed) sets and rgcl - open sets identified through the closure space. In addition, the concept of rgcl -closed function is studied by using of rgcl - closed sets with introduction of some important propositions and theorems.