الملخص

In this paper, we introduce iD-sets which are depends on i-open sets [12]. Where we discussed the relationship between this sets and other types of sets, In addition, we discussed the relationship between the separation axioms for this type of sets with one hand and their relationship with i-separation axioms [1] on the other hand. Also we introduce i-symmetric typological space and the weakly -space. The most important results that we have obtained i-symmetric topological space which topologically extended for i-open sets will be -space if and only if it is - Space.