IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i15p1759-d601579.html
   My bibliography  Save this article

Connectedness and Local Connectedness on Infra Soft Topological Spaces

Author

Listed:
  • Tareq M. Al-shami

    (Department of Mathematics, Sana’a University, Sana’a P.O. Box 1247, Yemen)

  • El-Sayed A. Abo-Tabl

    (Department of Mathematics, College of Arts and Science, Methnab, Qassim University, Buridah 51931, Saudi Arabia
    Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt)

Abstract

This year, we introduced the concept of infra soft topology as a new generalization of soft topology. To complete our analysis of this space, we devote this paper to presenting the concepts of infra soft connected and infra soft locally connected spaces. We provide some descriptions for infra soft connectedness and elucidate that there is no relationship between an infra soft topological space and its parametric infra topological spaces with respect to the property of infra soft connectedness. We discuss the behaviors of infra soft connected and infra soft locally connected spaces under infra soft homeomorphism maps and a finite product of soft spaces. We complete this manuscript by defining a component of a soft point and establishing its main properties. We determine the conditions under which the number of components is finite or countable, and we discuss under what conditions the infra soft connected subsets are components.

Suggested Citation

  • Tareq M. Al-shami & El-Sayed A. Abo-Tabl, 2021. "Connectedness and Local Connectedness on Infra Soft Topological Spaces," Mathematics, MDPI, vol. 9(15), pages 1-13, July.
  • Handle: RePEc:gam:jmathe:v:9:y:2021:i:15:p:1759-:d:601579
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/15/1759/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/9/15/1759/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Tareq M. Al-shami, 2021. "New Soft Structure: Infra Soft Topological Spaces," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-12, July.
    2. Athar Kharal & B. Ahmad, 2011. "Mappings On Soft Classes," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 7(03), pages 471-481.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Tareq M. Al-shami & Zanyar A. Ameen & Radwan Abu-Gdairi & Abdelwaheb Mhemdi, 2023. "On Primal Soft Topology," Mathematics, MDPI, vol. 11(10), pages 1-15, May.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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 & Zanyar A. Ameen & Radwan Abu-Gdairi & Abdelwaheb Mhemdi, 2023. "On Primal Soft Topology," Mathematics, MDPI, vol. 11(10), pages 1-15, May.
    3. José Carlos R. Alcantud & Tareq M. Al-shami & A. A. Azzam, 2021. "Caliber and Chain Conditions in Soft Topologies," Mathematics, MDPI, vol. 9(19), pages 1-15, September.
    4. Apostolos G. Christopoulos & Ioannis G. Dokas & Iraklis Kollias & John Leventides, 2019. "An implementation of Soft Set Theory in the Variables Selection Process for Corporate Failure Prediction Models. Evidence from NASDAQ Listed Firms," Bulletin of Applied Economics, Risk Market Journals, vol. 6(1), pages 1-20.
    5. Muhammad Saeed & Muhammad Ahsan & Muhammad Haris Saeed & Atiqe Ur Rahman & Asad Mehmood & Mazin Abed Mohammed & Mustafa Musa Jaber & Robertas Damaševičius, 2022. "An Optimized Decision Support Model for COVID-19 Diagnostics Based on Complex Fuzzy Hypersoft Mapping," Mathematics, MDPI, vol. 10(14), pages 1-20, July.
    6. Samer Al-Ghour & Dina Abuzaid & Monia Naghi, 2024. "Soft Weakly Quasi-Continuous Functions Between Soft Topological Spaces," Mathematics, MDPI, vol. 12(20), pages 1-19, October.
    7. Arif Mehmood Khattak & Gulzar Ali Khan & Younis Khan & Muhammad Ishfaq Khattak & Fahad Jamal, 2018. "Characterization Of Soft B Separation Axioms In Soft Bi-Topological Spaces," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 2(2), pages 11-17, January.
    8. Samajh Singh Thakur & Alpa Singh Rajput, 2018. "Connectedness Between Soft Sets," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(01), pages 53-71, March.
    9. Tahir Ayaz & Arif Mehmood Khattak & Nisar Ahmad, 2018. "Supra Soft R-Separation Axioms," Acta Scientifica Malaysia (ASM), Zibeline International Publishing, vol. 2(2), pages 27-31, August.
    10. Sandeep Kaur & Tareq M. Al-shami & Alkan Özkan & M. Hosny, 2023. "A New Approach to Soft Continuity," Mathematics, MDPI, vol. 11(14), pages 1-11, July.
    11. 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.
    12. H. Hazra & P. Majumdar & S. K. Samanta, 2012. "Soft topology," Fuzzy Information and Engineering, Springer, vol. 4(1), pages 105-115, March.
    13. Zanyar A. Ameen & Mesfer H. Alqahtani, 2023. "Some Classes of Soft Functions Defined by Soft Open Sets Modulo Soft Sets of the First Category," Mathematics, MDPI, vol. 11(20), pages 1-15, October.
    14. Michael Gr. Voskoglou, 2022. "Fuzziness, Indeterminacy and Soft Sets: Frontiers and Perspectives," Mathematics, MDPI, vol. 10(20), pages 1-15, October.
    15. Tareq M. Al-shami & Ljubiša D. R. Kočinac & Baravan A. Asaad, 2020. "Sum of Soft Topological Spaces," Mathematics, MDPI, vol. 8(6), pages 1-12, June.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:9:y:2021:i:15:p:1759-:d:601579. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.