6533b7d7fe1ef96bd1268624
RESEARCH PRODUCT
The centralizer of a C1 generic diffeomorphism is trivial
Christian BonattiSylvain CrovisierAmie Wilkinsonsubject
Mathematics::Dynamical Systems[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS][ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS]FOS: Mathematics[MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS]Dynamical Systems (math.DS)Mathematics - Dynamical SystemsMathematics::Geometric TopologyMathematics::Symplectic Geometrydescription
In this announcement, we describe the solution in the C1 topology to a question asked by S. Smale on the genericity of trivial centralizers: the set of diffeomorphisms of a compact connected manifold with trivial centralizer residual in Diff^1 but does not contain an open and dense subset.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-05-25 |