On the conjugacy relation in ergodic theory

被引：10

作者：

Foreman, Matthew D. ^{[1
]}

Rudolph, Daniel J.

Weiss, Benjamin

机构：

[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

[2] Colorado State Univ, Dept Math, Ft Collins, CO 80523 USA

[3] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel

来源：

COMPTES RENDUS MATHEMATIQUE | 2006年 / 343卷 / 10期

关键词：

D O I：

10.1016/j.crma.2006.09.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The set of pairs of transformations on the interval [0, 1] can be equipped with a standard Borel structure. We prove that the relation of conjugacy is not a Borel subset of this space, in fact it is complete analytic. Moreover, our construction proves that the two sets, {T: T is conjugate of T-1}, and {T: the centralizer of T is non-trivial} are complete analytic sets.

引用

页码：653 / 656

页数：4