International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1677 2020 2020 Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq Qays Hatem Imran Department of Science, College of Basic Education, Al-Muthanna University, Samawah, Iraq Murtadha M. Abdulkadhim Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq. Ali H. M. Al Al-Obaidi Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955, Morocco Said Broumi In this paper, we delivered pioneering notions of closed sets in the neutrosophic crisp sense. In other words, we discussed -closed sets, -closed sets, and -closed sets in neutrosophic crisp topological space. Moreover, the subsequent innovative ideas are established, for instance, -closure and -interior in neutrosophic crisp topological space, and obtaining numerous of their highlights. Besides, we submitted different kinds of neutrosophic crisp continuous functions and their associations. 2023 2023 106 118 10.54216/IJNS.200408 https://www.americaspg.com/articleinfo/21/show/1677