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

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1. CMB 2006 (vol 49 pp. 337)

Berlanga, R.
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.

Categories:57S05, 58F11

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