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

نویسندگان

  • Benson Farb
  • John Franks
چکیده

This self-contained paper is part of a series [FF1] seeking to understand groups of homeomorphisms of manifolds in analogy with the theory of Lie groups and their discrete subgroups. In this paper we consider groups which act on R with restrictions on the fixed point set of each element. One result is a topological characterization of affine groups in Diff(R) as those groups whose elements have at most one fixed point.

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تاریخ انتشار 2001