Locally continuously perfect groups of homeomorphisms

被引：0

作者：

Tomasz Rybicki

机构：

[1] AGH University of Science and Technology,Faculty of Applied Mathematics

来源：

Annals of Global Analysis and Geometry | 2011年 / 40卷

关键词：

Perfect group; Locally continuously perfect; Locally smoothly perfect; Uniformly perfect; Manifold; Homeomorphism; Diffeomorphism; Conjugation-invariant norm; Group of homeomorphisms; Fragmentation; Deformation; 57S05; 22A05; 22E65;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The notion of a locally continuously perfect group is introduced and studied. This notion generalizes locally smoothly perfect groups introduced by Haller and Teichmann. Next, we prove that the path connected identity component of the group of all homeomorphisms of a manifold is locally continuously perfect. The case of equivariant homeomorphism group and other examples are also considered.

引用

页码：191 / 202

页数：11

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