Weak extension theorem for measure-preserving homeomorphisms of noncompact manifolds

Tatsuhiko YAGASAKI

doi:10.2969/jmsj/06130687

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Weak extension theorem for measure-preserving homeomorphisms of noncompact manifolds

Tatsuhiko YAGASAKI

著者情報

キーワード: group of measure-preserving homeomorphisms, extension, principal bundle, Whitney topology, sigma-compact manifolds

ジャーナルフリー

2009 年 61 巻 3 号 p. 687-721

DOI https://doi.org/10.2969/jmsj/06130687

詳細

抄録

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.