$\gamma^*$-Regular,$\gamma$-Locally Compact and $\gamma$-Normal spaces

TL;DR

This paper explores advanced topological space properties, focusing on $\gamma$-regular, $\gamma$-normal, and introducing $\gamma$-locally compact spaces, building upon prior definitions and expanding the theoretical framework.

Contribution

It introduces the concept of $\gamma$-locally compact spaces and further investigates properties of $\gamma_0$-compact, $\gamma^*$-regular, and $\gamma$-normal spaces, extending previous work.

Findings

Defined $\gamma$-locally compact spaces.

Analyzed properties of $\gamma_0$-compact spaces.

Extended the theory of $\gamma$-regular and $\gamma$-normal spaces.

Abstract

We continue studying the properties of $\gamma_0$-compact, $\gamma^*$-regular and $\gamma$-normal spaces defined in [5]. We also define and discuss $\gamma$-locally compact spaces.