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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science
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Volume 25 • Issue 3 • PP: 363-372 • 2025

Some Types of Nth-Locally Compactness Spaces

Rehab Alharbi 1*
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,
Jamal Oudetallah 2
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,
Salsabiela Rawashdeh 3
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,
Ala Amourah 4
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1Department of Mathematics, College of Science, Jazan University, P.O. Box. 114, Jazan 45142, Kingdom of Saudi Arabia
2Department of Mathematics, University of Petra, Amman, 11196, Jordan
3Department of Mathematics, Irbid National University, Irbid 2600, Jordan
4Mathematics Education Program, Faculty of Education and Arts, Sohar University, Sohar 311, Oman; Applied Science Research Center. Applied Science Private University, Amman, Jordan
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.250332
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© 2025 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: March 22, 2024 Revised: June 19, 2024 Accepted: October 29, 2024
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Abstract

This work focuses on nth-locally compact spaces, which are topologies with locally compactness properties. Furthermore, the properties of these spaces will be studied in terms of locally compact spaces. Theoretical conclusions have been given and proven, and well-known theorems for locally compact spaces have been extended to nth-topologies. An instance case is offered to back up the findings.

Keywords

Compact spaces nth-locally compact spaces Metacompact space Bitopological spaces

References

[1] Dugundji ;J. ,( 1966). Topology, Allyn and Bacon, Boston.

[2] J. Oudetallah , ON FEEBLY PAIRWISE EXPANDABLE SPACE, J. Math. Comput. Sci. 11 (2021), No. 5, 6216-6225.

[3] J. Oudetallah, Nearly Expandability in bitopological spaces, Advances in Mathematics: Scientific Journal 10 (2021), 705-712.

[4] J. Kelley, General topology, Van Nostrand Company, 1955. kyungpook Math.J.,32, No. 2(1992), 273- 284.

[5] Kim,Y. W. (1968). Pairwise Compactness. Publ. Math. Debrecen.15, 87-90.

[6] Levine; N. , (1963). Semi-Open Sets and Semi-Continuity in Topological Spaces , Amer. Math. Monthly, 70, 36-41.

[7] Willard ; S., (1970).General Topology , Addison- Wesley Publishing Company, Inc.

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Alharbi, Rehab, Oudetallah, Jamal, Rawashdeh, Salsabiela, Amourah, Ala. "Some Types of Nth-Locally Compactness Spaces." International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 3, 2025, pp. 363-372. DOI: https://doi.org/10.54216/IJNS.250332
Alharbi, R., Oudetallah, J., Rawashdeh, S., Amourah, A. (2025). Some Types of Nth-Locally Compactness Spaces. International Journal of Neutrosophic Science, Volume 25(Issue 3), 363-372. DOI: https://doi.org/10.54216/IJNS.250332
Alharbi, Rehab, Oudetallah, Jamal, Rawashdeh, Salsabiela, Amourah, Ala. "Some Types of Nth-Locally Compactness Spaces." International Journal of Neutrosophic Science Volume 25, no. Issue 3 (2025): 363-372. DOI: https://doi.org/10.54216/IJNS.250332
Alharbi, R., Oudetallah, J., Rawashdeh, S., Amourah, A. (2025) 'Some Types of Nth-Locally Compactness Spaces', International Journal of Neutrosophic Science, Volume 25(Issue 3), pp. 363-372. DOI: https://doi.org/10.54216/IJNS.250332
Alharbi R, Oudetallah J, Rawashdeh S, Amourah A. Some Types of Nth-Locally Compactness Spaces. International Journal of Neutrosophic Science. 2025;Volume 25(Issue 3):363-372. DOI: https://doi.org/10.54216/IJNS.250332
R. Alharbi, J. Oudetallah, S. Rawashdeh, A. Amourah, "Some Types of Nth-Locally Compactness Spaces," International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 3, pp. 363-372, 2025. DOI: https://doi.org/10.54216/IJNS.250332
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