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On c -Compactness in Topological and Bitopological Spaces

Author

Listed:
  • Rehab Alharbi

    (Department of Mathematics, Jazan University, Jazan 2097, Saudi Arabia)

  • Jamal Oudetallah

    (Department of Mathematics, Irbid National University, Irbid 21110, Jordan)

  • Mutaz Shatnawi

    (Department of Mathematics, Irbid National University, Irbid 21110, Jordan)

  • Iqbal M. Batiha

    (Department of Mathematics, Al Zaytoonah University of Jordan, Amman 11733, Jordan
    Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman 346, United Arab Emirates)

Abstract

The primary goal of this research is to initiate the pairwise c -compact concept in topological and bitopological spaces. This would make us to define the concept of c -compact space with some of its generalization, and present some necessary notions such as the H -closed, the quasi compact and extremely disconnected compact spaces in topological and bitopological spaces. As a consequence, we derive numerous theoretical results that demonstrate the relations between c -separation axioms and the c -compact spaces.

Suggested Citation

  • Rehab Alharbi & Jamal Oudetallah & Mutaz Shatnawi & Iqbal M. Batiha, 2023. "On c -Compactness in Topological and Bitopological Spaces," Mathematics, MDPI, vol. 11(20), pages 1-12, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:20:p:4251-:d:1257814
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