On Normality in Dense Topological Subspaces

Key Points

This study introduces the concept of normality in dense topological spaces, expanding existing theories.
Characterizations and properties of normality in dense topological subspaces were thoroughly explored.
The research highlights the significance of compactness principles within these dense topological structures.
Findings may enhance understanding of complex behaviors in dense topological spaces over time.

Abstract

A lot of studies have been conducted on dense topological spaces over a long period of time and interesting results have been obtained. Normality and compactness on topological spaces have also been investigated for decades however, characterization when the subspaces are particularly dense has not been exhausted. In the present study, we consider the case when the countable subspaces are dense. We introduce the notion of normality in dense topological spaces Also, some characterizations and properties of these notions are investigated.

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Cite This Study

Ogola et al. (Sat,) studied this question.

synapsesocial.com/papers/68f04ad0e559138a1a06ecb2 https://doi.org/https://doi.org/10.65000/ym217j11