Application of waist inequality to entropy and mean dimension: II
Abstract
Let X be a full-shift on the alphabet [0, 1]a and let (Y, S) be an arbitrary dynamical system. We prove that any equivariant continuous map from X to Y has conditional metric mean dimension not less than a-mdim(Y, S). This solves a problem posed in a paper of Shi--Tsukamoto (2023).
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