Groups, Geometry, and Dynamics


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Volume 10, Issue 1, 2016, pp. 45–63
DOI: 10.4171/GGD/342

Published online: 2016-02-09

Actions of groups of homeomorphisms on one-manifolds

Emmanuel Militon[1]

(1) Université de Nice Sophia Antipolis, France

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.

Keywords: Homeomorphism, topological dynamics, groups

Militon Emmanuel: Actions of groups of homeomorphisms on one-manifolds. Groups Geom. Dyn. 10 (2016), 45-63. doi: 10.4171/GGD/342