aspg-21-3310-1791472300 20261008151140 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2025 25 3 Rehab Alharbi Department of Mathematics, College of Science, Jazan University, P.O. Box. 114, Jazan 45142, Kingdom of Saudi Arabia Jamal Oudetallah Department of Mathematics, University of Petra, Amman, 11196, Jordan 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 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 363 372 3310 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.250332 https://www.americaspg.com/journal/21/article/3310 https://www.americaspg.com/storage/81731621661.pdf