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Homotopy Equivalence and Groups of Measure-Preserving Homeomorphisms
Published online by Cambridge University Press: 20 November 2018
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.
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- Copyright © Canadian Mathematical Society 2006
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