Volume 25 , Issue 3 , PP: 339-348, 2025 | Cite this article as | XML | Html | PDF | Full Length Article
Jamal Oudetallah 1 , Rehab Alharbi 2 * , Salsabiela Rawashdeh 3 , Ala Amourah 4
Doi: https://doi.org/10.54216/IJNS.250330
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.
lindel&rdquo , of spaces , Hausdorff , bitopological spaces , tri-topological spaces
[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.
