International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2149 2020 2020 Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq Amer Khrija Abed Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq Ekram Abd Ali Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq Ahmed Salam Razzaq Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq Qays Hatem Imran Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955, Morocco. Said Broumi In this paper, we redefine the dense neutrosophic set operations and, by using them, we introduce new definition for topological space in neutrosophic topological space and also gives the basic specifications for the new definitions of neutrosophic topological space in neutrosophic topological space, we also obtained some properties that show the relationship between neutrosophic topological space and neutrosophic semi-open sets in the neutrosophic topological space, we also studied image characterization and preimages of neutrosophic    topological  space . 2023 2023 08 14 10.54216/IJNS.220301 https://www.americaspg.com/articleinfo/21/show/2149