An embedding theorem for mean dimension

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.

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