Title: ? T?_12^*-I-open sets
Authors: Abbas A. Jedi
Volume: 10
Issue: 7
Pages: 54-57
Publication Date: 2026/07/28
Abstract:
In classical and operator topological spaces, the concept of ideal convergence has been widely studied by many authors since 1933. In this work, we extend the notion of ideal convergence to bi-operator topological spaces equipped with T_1and T_2. We introduce the ? T?_12^* by extending a previous one-operator work. We establish fundamental properties and examine the relationship with the classical ideal convergence. Furthermore, we will study the connection between one and bi- operator ideal convergence. We also provide an inclusion to show that bi-operator ideal convergence represents a strict generalization of bi-operator. This study results in a framework that shows the underlying relation and interaction of the bi-operator with ideal convergence.