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.
Citation: G. Şenel, J. I. Baek, S. H. Han, M. Cheong, K. Hur. Compactness and axioms of countability in soft hyperspaces[J]. AIMS Mathematics, 2025, 10(1): 72-96. doi: 10.3934/math.2025005
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.
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