English

Lowering mean topological dimension

Dynamical Systems 2024-11-21 v2

Abstract

In this paper, we prove that for a topological dynamical system with positive mean topological dimension and marker property, it has factors of arbitrary small mean topological dimension and zero relative mean topological dimension which separate points.

Keywords

Cite

@article{arxiv.2411.10749,
  title  = {Lowering mean topological dimension},
  author = {Ruxi Shi},
  journal= {arXiv preprint arXiv:2411.10749},
  year   = {2024}
}

Comments

14 pages

R2 v1 2026-06-28T20:02:11.097Z