Finite entropy characterizes topological rigidity on connected groups

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Bhattacharya, Siddhartha and Ward, Thomas (2005) Finite entropy characterizes topological rigidity on connected groups. Ergodic Theory and Dynamical Systems, 25 (2). pp. 365-373. ISSN 0143-3857

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Abstract

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

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 14:48
Last Modified:	01 Mar 2023 12:30
URI:	https://ueaeprints.uea.ac.uk/id/eprint/19715
DOI:	10.1017/S0143385704000501

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