Search: MSC category 57S05
( Topological properties of groups of homeomorphisms or diffeomorphisms )
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.