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Homotopy Equivalence and Groups of Measure-Preserving Homeomorphisms

  Published:2006-09-01
 Printed: Sep 2006
  • R. Berlanga
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Abstract

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.
MSC Classifications: 57S05, 58F11 show english descriptions Topological properties of groups of homeomorphisms or diffeomorphisms
unknown classification 58F11
57S05 - Topological properties of groups of homeomorphisms or diffeomorphisms
58F11 - unknown classification 58F11
 

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