In this paper we deduce weak type extension theorems for the groups of measure-preserving homeomorphisms of noncompact manifolds. As an application, we show that the group of measure-preserving homeomorphisms with compact support of a noncompact connected manifold, endowed with the Whitney topology, is locally contractible.
Publié le : 2009-07-15
Classification:
group of measure-preserving homeomorphisms,
extension,
principal bundle,
Whitney topology,
sigma-compact manifolds,
28D05,
57S05
@article{1248961476,
author = {YAGASAKI, Tatsuhiko},
title = {Weak extension theorem for measure-preserving homeomorphisms of noncompact manifolds},
journal = {J. Math. Soc. Japan},
volume = {61},
number = {3},
year = {2009},
pages = { 687-721},
language = {en},
url = {http://dml.mathdoc.fr/item/1248961476}
}
YAGASAKI, Tatsuhiko. Weak extension theorem for measure-preserving homeomorphisms of noncompact manifolds. J. Math. Soc. Japan, Tome 61 (2009) no. 3, pp. 687-721. http://gdmltest.u-ga.fr/item/1248961476/