Volume 27 , Issue 1 , PP: 59-72, 2026 | Cite this article as | XML | Html | PDF | Full Length Article
Amani Rawshdeh 1 * , Ahmad Al-Omari 2
Doi: https://doi.org/10.54216/IJNS.270106
In this paper, we will use the family of regular open sets in a topological space (Z, τ ) to define an operator ΦR : 2Z → 2Z by ΦR(F) = {s ∈ Z : ∃ D ∈ RO(Z, s) with (D − F )c /∈ P} in frame of primal topological spaces. Then we introduce the notion of topology δ-compatible for a primal in a primal topological space and study some of its properties. Finally, we use the concept of δ-semi-open sets to provide additional properties for the operators (⋄ R) and ΦR(F ), and we add many illustrative examples that help clarify the relationships between the concepts that are presented.
Primal , Primal topological spaces , The operator &Phi , R(F) , &tau , _R^⋄ -topology , &delta , -compatible
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