International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1342 2020 2020 Department of Mathematics, Faculty of Education, University of Zakho, Zakho 42002, Iraq Sagvan Y. Musa Department of Computer Science, College of Science, Cihan University-Duhok, Duhok 42001, Iraq;Department of Mathematics, Faculty of Science, University of Zakho, Zakho 42002, Iraq Baravan A. Asaad Herein, we further contribute and promote topological structures via bipolar hypersoft (BHS) setting by introducing new types of maps called BHS continuous, BHS open, BHS closed, and BHS homeomorphism maps. We investigate their characterizations and establish their main properties. By providing a thorough picture of the proposed maps, we investigate the concept of BHS compact space and obtain several results relating to this concept. We point out that BH compactness preserved under BH continuous map. The relationships among these concepts with their counterparts in hypersoft (HS) structures are discussed. 2022 2022 95 107 10.54216/IJNS.190209 https://www.americaspg.com/articleinfo/21/show/1342