On e*$\theta$-regular and e*$\theta$-normal Spaces

TL;DR

This paper introduces e*$\theta$-regular spaces, generalizing $\beta\theta$-regular spaces, and explores their properties, characterizations, related functions, and preservation theorems.

Contribution

It defines the new class of e*$\theta$-regular spaces and investigates their fundamental properties, functions, and preservation results, extending the theory of regular spaces.

Findings

e*$\theta$-regular spaces generalize $\beta\theta$-regular spaces

Characterizations of e*$\theta$-regular and e*$\theta$-normal spaces provided

New functions related to e*$\theta$-closed sets studied

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.