arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0804.1240math.DSmath.GT
收藏

叶理分类

Classifying foliations

Steven Hurder

摘要:

我们给一个调查的方法来分类叶理,开始与Haefliger分类空间和各种结果和例子有关的次级类叶理。介绍和讨论了叶理的各种动力学性质,包括膨胀率、局部熵和轨道增长率。这导致分解的叶状空间到博雷尔或可测组件与这些不同的动力学类型。的动态结构进行比较,通过二级分类。

英文摘要:

We give a survey of the approaches to classifying foliations, starting with the Haefliger classifying spaces and the various results and examples about the secondary classes of foliations. Various dynamical properties of foliations are introduced and discussed, including expansion rate, local entropy, and orbit growth rates. This leads to a decomposition of the foliated space into Borel or measurable components with these various dynamical types. The dynamical structure is compared with the classification via secondary classes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑