Some Types of Tri-Locally Compactness Spaces

Authors

  • Ala Amourah Department of Mathematics, Faculty of Education and Arts, Sohar University, Sohar 3111, Sultanate of Oman
  • Jamal Oudetallah Department of Mathematics, University of Petra, Amman, 11196, Jordan
  • Iqbal M. Batiha Department of Mathematics, Al Zaytoonah University of Jordan, Amman 11733, Jordan.
  • Jamal Salah College of Applied and Health Sciences, A’Sharqiyah University, Post Box No. 42, Post Code No. 400 Ibra, Sultanate of Oman
  • Sultan Alsaadi Mathematics Education Program, Faculty of Education and Arts, Sohar University, Sohar 311, Oman
  • Tala Sasa Department of Mathematics, Faculty of Science, Applied Science Private University, Amman, Jordan

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5764

Keywords:

Tri-locally compact spaces, Tri-topological spaces;, Locally compactness;, Metacompactness.

Abstract

In this study, the locally compactness spaces property will be investigated for three topologies, known as tri-locally compact spaces. Additionally, the features of these spaces will be investigated in terms of locally compact spaces. Many theoretical results have been presented and proven, and several well-known theorems concerning locally compact spaces have been extended to apply to three topologies. An illustrative example is provided to support the findings.

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Published

2025-05-01

Issue

Section

Topology

How to Cite

Some Types of Tri-Locally Compactness Spaces. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5764. https://doi.org/10.29020/nybg.ejpam.v18i2.5764