Q*-normal spaces

TL;DR

This paper introduces Q*-normality, a new weak form of normality in topological spaces, using Q*-closed sets, and explores its properties, characterizations, and preservation theorems.

Contribution

It presents a novel concept of Q*-normality and provides characterizations and preservation results, expanding the understanding of weak normality in topology.

Findings

Q*-normality is a new weak form of normality.

Characterizations of Q*-normal and normal spaces are established.

Preservation theorems for Q*-normal spaces are proved.

Abstract

In this paper, using Q*-closed sets, we introduce a new version of normality called, Q*-normality which is a weak form of normality. Further utilizing Q*g-closed sets, we obtain some characterizations of Q*-normal and normal spaces and also obtain some preservation theorems for Q*-normal spaces.