Monotone versions of $\delta$-normality

TL;DR

This paper explores monotone variants of $ abla$-normality, analyzing their properties and how they relate to other topological concepts like monotone normality and stratifiability.

Contribution

It introduces and studies new monotone versions of $ abla$-normality, providing factorization results linking these properties to existing concepts.

Findings

Monotone normality can be factorized through these weaker properties.

New monotone $ abla$-normality variants are characterized.

Relationships between monotone $ abla$-normality, stratifiability, and normality are established.

Abstract

We continue the study of properties related to monotone countable paracompactness, investigating various monotone versions of $\delta$-normality. We factorize monotone normality and stratifiability in terms of these weaker properties.