Finite entropy characterizes topological rigidity
Dynamical Systems
2007-05-23 v1
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.
Cite
@article{arxiv.math/0302039,
title = {Finite entropy characterizes topological rigidity},
author = {S. Bhattacharya and T. Ward},
journal= {arXiv preprint arXiv:math/0302039},
year = {2007}
}
Comments
11 pages, no figures