International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/4017 2020 2020 Department of Mathematics, Faculty of Science, Jadara University, Irbid, Jordan Wadei Wadei In this paper, I_g^*- closed sets, and I_g^*- open are used to investigate and define a new class of functions is said to be I_g^*-Continues functions, I_g^*-irresolute functions in ideal topological space topological spaces. Morover, I introduce I_g^*- compact spaces and I_g^*-connected spaces, and maximal I_g^*-closed sets. I obtain their characterizations and study their basic properties. 2026 2026 132 143 10.54216/IJNS.270212 https://www.americaspg.com/articleinfo/21/show/4017