Mathematics – Dynamical Systems
Scientific paper
2003-02-04
Ergodic Theory and Dynamical Systems, 25, 365-373, 2005
Mathematics
Dynamical Systems
11 pages, no figures
Scientific paper
10.1017/S0143385704000501
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.
Bhattacharya Sailajananda
Ward Thomas
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