English

An embedding theorem for mean dimension

Dynamical Systems 2023-12-14 v1

Abstract

Let (X,Z) be a minimal dynamical system on a compact metric X and k an integer such that mdim X< k. We show that (X,Z) admits an equivariant embedding in the shift (D^k)^Z where D is a superdendrite.

Keywords

Cite

@article{arxiv.2312.07585,
  title  = {An embedding theorem for mean dimension},
  author = {Michael Levin},
  journal= {arXiv preprint arXiv:2312.07585},
  year   = {2023}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2312.04689, arXiv:2312.06064

R2 v1 2026-06-28T13:48:51.906Z