A union theorem for mean dimension
Dynamical Systems
2023-12-12 v1
Abstract
Let (X,Z) be a dynamical system on a compact metric X and let X be the countable union of closed invariant subsets X_i, i in N. We prove that mdim X =sup {mdim X_i : i in N}.
Keywords
Cite
@article{arxiv.2312.06064,
title = {A union theorem for mean dimension},
author = {Michael Levin},
journal= {arXiv preprint arXiv:2312.06064},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2312.04689