Weak extension theorem for measure-preserving homeomorphisms of noncompact manifolds

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/226219In this paper we introduce a general notion of weak extension property for embeddings induced by a group actions. As an example, for the group H(M, m) of measure-preserving homeomorphisms of a noncompact manifold M, we deduce weak type extension theorems, and as an application we exhibit the local contractibility of the group H_c(M, m) of measure-preserving homeomorphisms with compact support of a noncompact connected manifold M endowed with the Whitney topology.22 pagesGeometric TopologyGeneral Topology57S05; 58C35Weak extension theorem for measure-preserving homeomorphisms of noncompact manifoldstext