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Homotopy Equivalence and Groups of Measure-Preserving Homeomorphisms

Published online by Cambridge University Press:  20 November 2018

R. Berlanga
R. Berlanga*
Affiliation:
Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, 04510 México D.F., México e-mail: [email protected]
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Abstract

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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.

Keywords

57S0558F11
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 49 , Issue 3 , 01 September 2006 , pp. 337 - 346
Copyright
Copyright © Canadian Mathematical Society 2006

References

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