1. CMB 2006 (vol 49 pp. 337)
|Homotopy Equivalence and Groups of Measure-Preserving Homeomorphisms |
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.