English

Transitivity in CR-Dynamical Systems

Dynamical Systems 2025-11-04 v1 General Topology

Abstract

A CR-dynamical system is a pair (X,G)(X, G), where XX is a compact metric space and GG is a closed relation (CR) on XX. In this paper, we introduce a new type of transitive point and transitivity in CR-dynamical systems. We develop a new tool called transitivity trees, which we use to determine the relationship between the different types of transitive points.

Keywords

Cite

@article{arxiv.2511.00864,
  title  = {Transitivity in CR-Dynamical Systems},
  author = {Sina Greenwood and Andrew Wood},
  journal= {arXiv preprint arXiv:2511.00864},
  year   = {2025}
}
R2 v1 2026-07-01T07:17:57.243Z