International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3310 2020 2020 Department of Mathematics, College of Science, Jazan University, P.O. Box. 114, Jazan 45142, Kingdom of Saudi Arabia Ala Ala Department of Mathematics, University of Petra, Amman, 11196, Jordan Jamal Oudetallah 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 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. 2025 2025 363 372 10.54216/IJNS.250332 https://www.americaspg.com/articleinfo/21/show/3310