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Categories of Open Sets in Generalized Primal Topological Spaces

Author

Listed:
  • Hanan Al-Saadi

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

  • Huda Al-Malki

    (Department of Mathematics, Adham University College, Umm Al-Qura University, Makkah 21955, Saudi Arabia
    These authors contributed equally to this work.)

Abstract

In this research article, we define some categories of open sets over a generalized topological space given together with a primal collection. In addition, we clarify some of its characteristics and investigate the relationships between these concepts in the space under consideration. The topic of continuity occupies a large space in topological theory and is one of the most important topics therein. Researchers have examined it in light of many variables. We followed the same approach by studying the concept of continuity between two generalized topological spaces in light of the primal collection under the name ( g , P ) -continuity. We also made a decomposition of this type of function in light of these weak categories of open sets.

Suggested Citation

  • Hanan Al-Saadi & Huda Al-Malki, 2024. "Categories of Open Sets in Generalized Primal Topological Spaces," Mathematics, MDPI, vol. 12(2), pages 1-14, January.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:2:p:207-:d:1315140
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    References listed on IDEAS

    as
    1. Luis Mejías & Jorge Vielma & à ngel Guale & Ebner Pineda & Sergejs Solovjovs, 2023. "Primal Topologies on Finite-Dimensional Vector Spaces Induced by Matrices," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2023, pages 1-7, January.
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