Separation axioms of $\alpha^{m}$-open sets

TL;DR

This paper introduces new classes of topological spaces and maps based on $ ext{alpha}^m$-open sets, exploring their properties and expanding the framework of separation axioms in topology.

Contribution

It defines $T_{ ext{alpha}^m}$-spaces and $ ext{alpha}^m$-maps, providing foundational properties and extending separation axioms in topology.

Findings

Defined $T_{ ext{alpha}^m}$-spaces and $ ext{alpha}^m$-maps

Established basic properties of these new classes

Extended the framework of separation axioms

Abstract

In this paper, we introduce $T_{\alpha^{m}}$-Spaces, $\alpha^{m}$-closed maps and $\alpha^{m}$-open maps and studied some of their properties.