Finite entropy characterizes topological rigidity
S. Bhattacharya, T. Ward
Abstract
Let X1 and X2 be mixing connected algebraic dynamical systems with the Descending Chain Condition. We show that every equivariant continuous map X1 to X2 is affine (that is, X2 is topologically rigid) if and only if the system X2 has finite topological entropy.
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