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Homeomorphism and Quotient Mappings in Infrasoft Topological Spaces

Author

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  • Tareq M. Al-shami
  • Huseyin Isik

Abstract

In this paper, we contribute to infrasoft topology which is one of the recent generalizations of soft topology. Firstly, we redefine the concept of soft mappings to be convenient for studying the topological concepts and notions in different soft structures. Then, we introduce the concepts of open, closed, and homeomorphism mappings in the content of infrasoft topology. We establish main properties and investigate the transmission of these concepts between infrasoft topology and its parametric infratopologies. Finally, we define a quotient infrasoft topology and infrasoft quotient mappings and study their main properties with the aid of illustrative examples.

Suggested Citation

  • Tareq M. Al-shami & Huseyin Isik, 2021. "Homeomorphism and Quotient Mappings in Infrasoft Topological Spaces," Journal of Mathematics, Hindawi, vol. 2021, pages 1-10, August.
    • Handle: RePEc:hin:jjmath:3388288
    DOI: 10.1155/2021/3388288
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    Cited by:

    1. 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.
    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.
    3. 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.

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