On e*$θ$-regular and e*$θ$-normal Spaces

Abstract

The purpose of this study is to introduce a new class of regular spaces called e*$\theta$-regular spaces which is a generalization of the class of $\beta\theta$-regular spaces. Also, we investigate some basic properties and several characterizations of e*$\theta$-regular and e*$\theta$-normal spaces. Moreover, some functions such as e*$\theta$-closed function, generalized e*$\theta$-closed function, generalized e*$\theta$-closed function have been defined and studied. Furthermore, we obtain some preservation theorems.