Ali Khalaf Hussain Al-Hachami, New Types of Openness and Closed Graphs in Topological Space, Journal of Modern Mathematics and Statistics, Volume 13,Issue 1, 2019, Pages 21-27, ISSN 1994-5388, jmmstat.2019.21.27, (https://makhillpublications.co/view-article.php?doi=jmmstat.2019.21.27) Abstract: ∞-unequivocally 2-continuity function and (∞, 2)-closed graphs was examined by Chae et al. The goal of this study is to research a few of new portrayal and properties of ∞-unequivocally 2-continuity and (∞, 2)-closed graphs. Besides we characterize new sort of a function called ∞, 2-open function which is more grounded than quasi ∞-open and ∞,-open and we acquire a few portrayals and properties for it. Keywords: Characterize;properties;portrayals;function;2-continuity;ground