Finite entropy characterizes topological rigidity

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dc.creatorBhattacharya, S.
dc.creatorWard, T.
dc.date2003-02-04
dc.date.accessioned2026-07-07T06:31:02Z
dc.date.available2026-07-07T06:31:02Z
dc.descriptionLet 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.
dc.description11 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0302039
dc.identifierhttp://arxiv.org/abs/math/0302039
dc.identifierErgodic Theory and Dynamical Systems, 25, 365-373, 2005
dc.identifierdoi:10.1017/S0143385704000501
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98500
dc.subjectDynamical Systems
dc.titleFinite entropy characterizes topological rigidity
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