Group actions on one-manifolds, II: Extensions of Hölder's Theorem

Details Group actions on one-manifolds, II: Extensions of Hölder's Theorem Group actions on one-manifolds, II: Extensions of Hölder's Theorem

2001-02-03

arxiv.org/abs/math/0102025v2

Mathematics

Dynamical Systems

references added, new theorem added :topological characterization of affine groups on R

Scientific paper

We study groups of homeomorphisms of R, each of whose elements have at most
one fixed point. In particular we prove that any such group of C^2
diffeomorphisms is topologically conjugate to an affine group.

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