Author(s): Hiba O Mousa, Nada J Mohammed and Zinah Taha Abdlqader
The present paper discusses new class of sets depended on the concept of iβ-open set. The importance concepts which introduced in this paper are minima iβ-open and maximal iβ-open sets. Besides, new types of topological spaces introduced which called Tiβmax and Tiβmin spaces. Also, we present new two functions of continuity which called minimal iβ-continuous and maximal iβ-continuous.