Actions of groups of homeomorphisms on one-manifolds

Emmanuel Militon (1, 2)

1 LJAD - Laboratoire Jean Alexandre Dieudonné
2 CMLS - Centre de Mathématiques Laurent Schwartz

In this article, we describe all the group morphisms from the group of compactly-supported homeomorphisms isotopic to the identity of a manifold to the group of homeomorphisms of the real line or of the circle.

Domaines: Systèmes dynamiques [math.DS]

Emmanuel Militon. Actions of groups of homeomorphisms on one-manifolds. Groups, Geometry, and Dynamics, 2016, 10 (1). ⟨hal-00788721⟩