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2025, Volume 10, Issue 1: 72-96. doi: 10.3934/math.2025005
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Compactness and axioms of countability in soft hyperspaces

  • 1.
    Department of Mathematics, University of Amasya, 05100 Amasya, Turkey
  • 2.
    School of Big Data and Financial Statistics, Wonkwang University, Korea
  • 3.
    Division of Applied Mathematics, Wonkwang University, Korea
  • 4.
    School of Liberal Arts and Sciences, Korea Aerospace University, Korea
  • Received: 10 September 2024 Revised: 14 November 2024 Accepted: 05 December 2024 Published: 02 January 2025

  • MSC : 54A40, 54B20, 54D10, 54D15

  • 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

    Related Papers:

  • 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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