The centralizer of a \(C^1\)-generic diffeomorphism is trivial

zbMath1149.37012arXiv0705.0225MaRDI QIDQ928654

Amie Wilkinson, Sylvain Crovisier, Christian Bonatti

Publication date: 11 June 2008

Published in: Electronic Research Announcements in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.0225

zbMATH Keywords

centralizergeneric propertiesresidual setgroup of diffeomorphismslipeomorphism

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (3)

Centralizers of hyperbolic and kinematic-expansive flows ⋮ Automorphisms of generic gradient vector fields with prescribed finite symmetries ⋮ The \(C^1\) generic diffeomorphism has trivial centralizer

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