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math.DS2025
A free Z-action by isometries on a compact metric space which is not embeddable into a cubical shift
Alexander Dranishnikov, Michael Levin
We construct an example announced in the title. It answers in a strong way a well-known open problem in topological dynamics. In fact our construction is an existence theorem. It i…
math.DS2023
Finite-to-one equivariant maps and mean dimension
Michael Levin
We show that a minimal dynamical system on a compact metric with mdim admits for every natural an equivariant map to the shift $([0,1]^k)^{\mathbb{Z…