TY - JOUR AU - El-Monsef, M. E. Abd AU - Mahmoud, R. A. AU - Nasef, A. A. PY - 2000/06/30 Y2 - 2024/03/28 TI - On quasi I-openness and quasi I-continuity JF - Tamkang Journal of Mathematics JA - Tamkang J. Math. VL - 31 IS - 2 SE - Papers DO - 10.5556/j.tkjm.31.2000.401 UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/401 SP - 101-108 AB - A space $ (X,\tau,I)$ consisting of a nonempty set $ X$ with a topology $ \tau$ and an ideal $ I$ of subsets of $ X$ which has heredity and finite additivity properties. In this paper the quasi $ I$-open and quasi $ I$-closed sets are presented. Utilizing these new concepts the class of quasi $ I$-continuous functions have been obtained. Both of quasi $ I$-openness and quasi $ I$-continuity is considered as a generalization of those $ I$-openness and $ I$-continuity. However, numerous topological properties of these new notions have been discussed as well as many of their known results have been improved. ER -