S. Ray

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math.GN2026

Soft Metric Spaces via Soft Elements: Topology Across Parameter-Cardinalities and Fixed-Point Theory

Subhasis Ray

A soft set $(F, E)$ determines the selection space $\SE(F)=\prod_{e\in E}F(e)$. This paper studies two natural structures on that space. For at most countable $E$ , the series metric…

math.GN2026

Pairwise Separation and Compactness in Soft Bitopological Spaces via Soft Elements

S. Ray, Subhasis Ray, Titu Barik

Let $F : A \to P (X)$ be a soft set, and let $S E (F)$ be the set of all maps $a : A \to X$ such that $a (t) \in F (t)$ , for every $t \in A$ . If $τ$ is a soft topology on $F…