English

Finite mean dimesnion and marker property

Dynamical Systems 2021-02-25 v1 Algebraic Topology

Abstract

In this paper, we develop the theory of Zp\mathbb{Z}_p-index which has been introduced by Tsukamoto, Tsutaya and Yoshinaga. As an application, we show that given any positive number, there exists a dynamical system with mean dimension equal to such number such that it does not have the marker property.

Cite

@article{arxiv.2102.12197,
  title  = {Finite mean dimesnion and marker property},
  author = {Ruxi Shi},
  journal= {arXiv preprint arXiv:2102.12197},
  year   = {2021}
}

Comments

19 pages

R2 v1 2026-06-23T23:28:06.733Z