Compactness and axioms of countability in soft hyperspaces

Abstract

In this paper, we studied the compactness relationships, the local compactness relationships, the separability, and the axiom of countability relationships in a soft topological space and its soft hyperspaces. In particular, the compactness relationships, the local compactness relationships, the separability, and the axiom of countability relationships in a classical topological space and its hyperspace were treated as corollaries.