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Finite entropy characterizes topological rigidity

Authors
  • Bhattacharya, S.
  • Ward, T.
Type
Published Article
Publication Date
Feb 04, 2003
Submission Date
Feb 04, 2003
Identifiers
DOI: 10.1017/S0143385704000501
arXiv ID: math/0302039
Source
arXiv
License
Unknown
External links

Abstract

Let X_1 and X_2 be mixing connected algebraic dynamical systems with the Descending Chain Condition. We show that every equivariant continuous map X_1 to X_2 is affine (that is, X_2 is topologically rigid) if and only if the system X_2 has finite topological entropy.

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