Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-11T03:39:53.087Z Has data issue: false hasContentIssue false
  • English
  • Français

GROUPS OF MEASURE-PRESERVING HOMEOMORPHISMS AS DEFORMATION RETRACTS

Published online by Cambridge University Press:  08 August 2003

RICARDO BERLANGA
RICARDO BERLANGA
Affiliation:
Instituto de Investigaciones en Matemáticas, Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, 04510 México DF, Méxicoberlanga@servidor.unam.mx
Get access

Abstract

It is known that the group of homeomorphisms of a non-compact, connected, metrizable manifold acts transitively on certain spaces of measures defined, among other properties, by their behaviour at the manifold's set of ‘ends’. As a generalization of previous work of Fathi in the realm of compact manifolds, it is shown that the given action admits a continuous section when restricted to ‘biregular’ homeomorphisms and measures. This result exhibits the isotropy groups of measure-preserving homeomorphisms as deformation retracts of the corresponding acting groups.

Keywords

57S0558F11
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 68 , Issue 1 , August 2003 , pp. 241 - 254
Copyright
The London Mathematical Society 2003

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)