THE C1 GENERIC DIFFEOMORPHISM HAS TRIVIAL CENTRALIZER

被引：31

作者：

Bonatti, Christian ^{[1
]}

Crovisier, Sylvain ^{[2
]}

Wilkinson, Amie ^{[3
]}

机构：

[1] CNRS, Inst Math Bourgogne, UMR 5584, F-21078 Dijon, France

[2] Univ Paris 13, CNRS, LAGA, UMR 7539, F-93430 Villetaneuse, France

[3] Northwestern Univ, Dept Math, Evanston, IL 60208 USA

来源：

PUBLICATIONS MATHEMATIQUES DE L'IHES, NO 109 | 2009年 / 109期

基金：

美国国家科学基金会;

关键词：

Periodic Orbit; Pairwise Disjoint; Periodic Point; Dense Subset; Stable Manifold;

D O I：

10.1007/s10240-009-0021-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Answering a question of Smale, we prove that the space of C-1 diffecomophisms of a compact manifold contains a residual subset of diffeomorphisms whose centralizers are trivial.

引用

页码：185 / 244

页数：60

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