ON S – Normal Space and Some Functions

Abstract

The concept of centennial space -S was introduced for the first time by the two scientists S.N.Maheshwari and (3) R.Prasad by replacing the open group in the definition of the centennial space with the open group -S which was introduced for the first time by the world (1) Norman Levine. The main purpose of this work is to find other properties of the centennial space - S using the concept of the new group (open -gs), where it will provide a new definition equivalent to the definition of the centennial space -S using the open set -gs instead of the open set, as well as it will provide some conservation theorems that Pertaining to centennial space -S by using new concepts of functions as the concept of the closed function -gs primarily and the continuous function -gs primarily.