Lindel ”Ofness Spaces in NTH Topological Spaces

Jamal; Rehab; Salsabiela; Ala

doi:https://doi.org/10.54216/IJNS.250330

Full Length Article

Volume 25 • Issue 3 • PP: 339-348 • 2025

Lindel ”Ofness Spaces in NTH Topological Spaces

Jamal Oudetallah ^1*

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,

Rehab Alharbi ²

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,

Salsabiela Rawashdeh ³

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,

Ala Amourah ⁴

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¹Department of Mathematics, University of Petra, Amman, 11196, Jordan

²Department of Mathematics, College of Science, Jazan University, P.O. Box. 114, Jazan 45142, Kingdom of Saudi Arabia

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.250330

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Received: March 20, 2024 Revised: June 15, 2024 Accepted: October 27, 2024

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Abstract

In this study, the lindel”of property of spaces will be examined across nth topologies, referred to as nthlindel” of spaces. Furthermore, the characteristics of these spaces will be analyzed in relation to lindel¨o]f spaces and tri-Lindelf spaces. Several theoretical results have been presented and proven, and various well-known theorems concerning Lindel?f spaces have been extended to accommodate nth topologies. An illustrative examples are provided to support the findings.

Keywords

lindel&rdquo of spaces Hausdorff bitopological spaces tri-topological 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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Oudetallah, Jamal, Alharbi, Rehab, Rawashdeh, Salsabiela, Amourah, Ala. "Lindel ”Ofness Spaces in NTH Topological Spaces." International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 3, 2025, pp. 339-348. DOI: https://doi.org/10.54216/IJNS.250330

Oudetallah, J., Alharbi, R., Rawashdeh, S., Amourah, A. (2025). Lindel ”Ofness Spaces in NTH Topological Spaces. International Journal of Neutrosophic Science, Volume 25(Issue 3), 339-348. DOI: https://doi.org/10.54216/IJNS.250330

Oudetallah, Jamal, Alharbi, Rehab, Rawashdeh, Salsabiela, Amourah, Ala. "Lindel ”Ofness Spaces in NTH Topological Spaces." International Journal of Neutrosophic Science Volume 25, no. Issue 3 (2025): 339-348. DOI: https://doi.org/10.54216/IJNS.250330

Oudetallah, J., Alharbi, R., Rawashdeh, S., Amourah, A. (2025) 'Lindel ”Ofness Spaces in NTH Topological Spaces', International Journal of Neutrosophic Science, Volume 25(Issue 3), pp. 339-348. DOI: https://doi.org/10.54216/IJNS.250330

Oudetallah J, Alharbi R, Rawashdeh S, Amourah A. Lindel ”Ofness Spaces in NTH Topological Spaces. International Journal of Neutrosophic Science. 2025;Volume 25(Issue 3):339-348. DOI: https://doi.org/10.54216/IJNS.250330

J. Oudetallah, R. Alharbi, S. Rawashdeh, A. Amourah, "Lindel ”Ofness Spaces in NTH Topological Spaces," International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 3, pp. 339-348, 2025. DOI: https://doi.org/10.54216/IJNS.250330

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