aspg-21-3306-1791475478 20261008160438 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2025 25 3 Jamal Oudetallah Department of Mathematics, University of Petra, Amman, 11196, Jordan Rehab Alharbi Department of Mathematics, College of Science, Jazan University, P.O. Box. 114, Jazan 45142, Kingdom of Saudi Arabia Salsabiela Rawashdeh Department of Mathematics, Irbid National University, Irbid 2600, Jordan Ala Amourah Mathematics Education Program, Faculty of Education and Arts, Sohar University, Sohar 311, Oman; Applied Science Research Center. Applied Science Private University, Amman, Jordan 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. 2025 339 348 3306 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.250330 https://www.americaspg.com/journal/21/article/3306 https://www.americaspg.com/storage/71731461440.pdf