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Hyperconnectedness and Resolvability of Soft Ideal Topological Spaces

Author

Listed:
  • Ahmad Al-Omari

    (Department of Mathematics, Faculty of Sciences, Al-al-Bayt University, P.O. Box 130095, Mafraq 25113, Jordan
    These authors contributed equally to this work.)

  • Wafa Alqurashi

    (Department of Mathematic, Faculty of Sciences, Umm Al-Qura University, P.O. Box 11155, Makkah 21955, Saudi Arabia
    These authors contributed equally to this work.)

Abstract

This paper introduces and explores the concept of soft ideal dense sets, utilizing soft open sets and soft local functions, to examine their fundamental characteristics under some conditions for the following notions: soft ideal hyperconnectedness, soft ideal resolvability, soft ideal irresolvability, and soft ideal semi-irresolvability in soft ideal topological spaces. Moreover, it explores the relationship between these notions if τ ⊓ I ¯ = ϕ E is obtained in the soft set environment.

Suggested Citation

  • Ahmad Al-Omari & Wafa Alqurashi, 2023. "Hyperconnectedness and Resolvability of Soft Ideal Topological Spaces," Mathematics, MDPI, vol. 11(22), pages 1-10, November.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:22:p:4697-:d:1283349
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    References listed on IDEAS

    as
    1. Zanyar A. Ameen & Tareq M. Al-shami & Radwan Abu-Gdairi & Abdelwaheb Mhemdi, 2023. "The Relationship between Ordinary and Soft Algebras with an Application," Mathematics, MDPI, vol. 11(9), pages 1-12, April.
    2. Tareq M. Al-shami & Abdelwaheb Mhemdi & Radwan Abu-Gdairi, 2023. "A Novel Framework for Generalizations of Soft Open Sets and Its Applications via Soft Topologies," Mathematics, MDPI, vol. 11(4), pages 1-16, February.
    Full references (including those not matched with items on IDEAS)

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