On closed subgroups of the group of homeomorphisms of a manifold

Frédéric Le Roux (1)

1 IMJ - Institut de Mathématiques de Jussieu

Let $M$ be a triangulable compact manifold. We prove that, among closed subgroups of $\homeo_{0}(M)$ (the identity component of the group of homeomorphisms of $M$), the subgroup consisting of volume preserving elements is maximal.

Mots clés: Homeomorphisms groups

Domaines: Systèmes dynamiques [math.DS]

Frédéric Le Roux. On closed subgroups of the group of homeomorphisms of a manifold. 2012. ⟨hal-00715582⟩