ON SEPARATION PROPERTIES IN SOFT TOPOLOGICAL SPACES

Year 2026, Volume: 16 Issue: 3, 349 - 356, 17.03.2026

Essam Hamouda

https://izlik.org/JA96TD84NG

Abstract

In this paper, we explore separation axioms $T_{i},$ for $ i=0,1,2, $ within the framework of soft topological spaces, utilizing the concept of soft points as defined in [16]. We define $T_{0}$ and $ T_{1}$ in terms of the mapping $\tau_{\mathcal{F}}$ and establish that a soft space is $T_{1}$ iff the soft point is soft closed, assuming the soft topology is enriched. Furthermore, we provide a new characterization of $ T_{2}$ soft spaces, contributing to the understanding of separation properties in soft topology.

Keywords

Soft sets , Soft topology , Soft product , Soft separation axioms

Thanks

The author wishes to express their gratitude to the editors and referees for their valuable comments that contributed to the enhancement of the article.

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