Group actions on one-manifolds, II: Extensions of Hölder's Theorem
Abstract
Description
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.
references added, new theorem added :topological characterization of affine groups on R
references added, new theorem added :topological characterization of affine groups on R