Genericity of rigid and multiply recurrent infinite measure-preserving and nonsingular transformations

被引：0

作者：

Ageev, ON ^{[1
]}

Silva, CE ^{[1
]}

机构：

[1] Moscow State Tech Univ, Dept Math, Moscow 107005, Russia

来源：

TOPOLOGY PROCEEDINGS, VOL 26, NO 2, 2001-2002 | 2002年 / 26卷 / 02期

关键词：

multiple recurrence; nonsingular transformations; generic;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the generic transformation is rigid and hence multiply recurrent for the group of infinite measure-preserving tranformations M and the group of nonsingular transformations G, for both the weak and uniform topologies.

引用

页码：357 / 365

页数：9

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