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PARACOMPACTNESS IN COC-OPEN SETS

  • HANI KAWARIQ (Department of Mathematics, Faculty of Science, Philadelphia University) ;
  • FUAD A. ABUSHAHEEN (Basic Science Department, Faculty of Arts and Educational Sciences, Middle East University)
  • Received : 2022.05.18
  • Accepted : 2022.10.23
  • Published : 2023.05.30

Abstract

As a new topological property, we introduce paracompact space via co-compact sets. We give some characterizations and implications theorems.

Keywords

Acknowledgement

The authors are grateful to Philadelphia University, Jerash, Jordan for the financial support granted to cover the publication fee of this research article.

References

  1. R. Al-Abdula and F. Al-Hussaini, On cocompact open set, J. Al-Qadisiyah Comput. Sci. Math. 6 (2014), 1-18.
  2. S. Al Ghour and S. Al-Zoubi, A new class between theta open sets and theta omega open sets, Heliyon 7 (2021), e05996.
  3. S. Al Ghour and E. Maghrabi, Co-compact separation Axoims and Slight co-continuity, Symmetry 12 (2020), 1-14.
  4. S. Al Ghour and S. Samarah, Cocompact open sets and continuity, Abstarct and Applied Analysis P548612 (2012), 1-9. https://doi.org/10.1155/2012/548612
  5. F.A. Abushaheen and F. Alrimawi, Weakly Covering Spaces in Coc-open Sets, European Journal of Pure and Applied Mathematics 15 (2022), 199-206.
  6. F.A. Abushaheen, Some Properties of Weak Separation Axioms in Coc-Compact Sets, European Journal of Pure and Applied Mathematics 15 (2022), 589-601. https://doi.org/10.29020/nybg.ejpam.v15i2.4298
  7. R. Engelking, General Topology. Revised and completed edition, Heldermann Verlag, Berlin, 1989.