International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3306 2020 2020 Department of Mathematics, University of Petra, Amman, 11196, Jordan Rehab Rehab Department of Mathematics, College of Science, Jazan University, P.O. Box. 114, Jazan 45142, Kingdom of Saudi Arabia Rehab Alharbi Department of Mathematics, Irbid National University, Irbid 2600, Jordan Salsabiela Rawashdeh Mathematics Education Program, Faculty of Education and Arts, Sohar University, Sohar 311, Oman; Applied Science Research Center. Applied Science Private University, Amman, Jordan Ala Amourah 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 2025 339 348 10.54216/IJNS.250330 https://www.americaspg.com/articleinfo/21/show/3306