Embedding lattice actions in flows with multidimensional time

被引：10
作者：
Tikhonov, SV
机构：
来源：
SBORNIK MATHEMATICS | 2006年 / 197卷 / 1-2期
关键词：
D O I：
10.1070/SM2006v197n01ABEH003748
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The genericity of the embeddability of lattice actions in flows with multidimensional time is studied. In particular, questions of de la Rue and de Sam Lazaro on the genericity of the embeddability of an action of a 2-lattice in a flow and the embeddability of a transformation in injective flow actions with multidimensional time are answered. It is also shown that a generic transformation has a set of roots of continuum cardinality in an arbitrary prescribed massive set.
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页码：95 / 126
页数：32
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