Application of waist inequality to entropy and mean dimension: II
Volume 267 / 2024
Fundamenta Mathematicae 267 (2024), 87-98
MSC: Primary 37B99; Secondary 54F45
DOI: 10.4064/fm231221-28-3
Published online: 15 July 2024
Abstract
Let be the full-shift on the alphabet [0, 1]^a and let (Y, S) be an arbitrary dynamical system. We prove that every equivariant continuous map from X to Y has conditional metric mean dimension at least a-{\rm mdim}(Y, S). This solves a problem posed in part I of this paper (2023), co-authored with Ruxi Shi.
