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

2001/02/03 by Benson Farb, John Franks, Farb, Benson +1
Mathematics · #Advanced Topology and Set Theory #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #math.DS #math.GR

paper · pdf · doi:10.48550/arxiv.math/0102025

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

arxiv created 2001/05/03 · arxiv updated 2009/11/30

Abstract

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 C² diffeomorphisms is topologically conjugate to an affine group.

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