Homotopy Equivalence and Groups of Measure-Preserving Homeomorphisms
Printed: Sep 2006
It is shown that the group of compactly
supported, measure-preserving homeomorphisms of a
connected, second countable manifold is locally contractible in the direct limit topology.
Furthermore, this group is weakly homotopically equivalent to the more general group of
compactly supported homeomorphisms.
57S05 - Topological properties of groups of homeomorphisms or diffeomorphisms
58F11 - unknown classification 58F11