Regularity and normality via ... open Sets

Abstract

Regular and normal space concepts, which has an important role in the classification of topological spaces, was introduced and studied respectively by Vietoris [4] and Tietze [3]. In this study, e*θ-regular space, which is a generalization of regular space, has been studied by defining via e*θ-open sets introduced by Farhan and Yang [2]. In addition, e*θ-normal space, which is a generalization of normal space, was defined by Ayhan and Özkoç [1]. Some characterizations and main results of e*θ-normal space have been studied in this work. The main purpose of this study is to obtain some characterizations of e*θ-regular and e*θnormal spaces and to investigate some of their fundamental properties.