Title: Studying Transitive of Types in topological transformation group with properties dynamics
Authors: Inas Yahya Abdullah /Wahhab Razzak Aubaid
Volume: 9
Issue: 8
Pages: 24-29
Publication Date: 2025/08/28
Abstract:
This thesis sheds light on the transitivity property of points in topological spaces and topological transformation groups. The concept of transitivity has been further studied in the admissible set (syndetical set, semi-replete set- replete set, extended set). The thesis also focused on studying the types of transitivity in topological transformation groups. It also presented types of point transitivity and then established the relationship of these types to the dynamic properties (fixed point - periodic point - almost periodic point - almost periodic point invariant point - minimal point) as it is a basic axis in the work. This undoubtedly required providing detailed proofs for abbreviated proofs and proofs of problems not established in the reference, in addition to the introduction of new definitions and theorems.