Criteria for the existence of an invariant measure for groups of homeomorphisms of the line

被引：0
作者：
L. A. Beklaryan
机构：
[1] Russian Academy of Sciences,Central Economics and Mathematics Institute
来源：
Mathematical Notes | 2014年 / 95卷
关键词：
invariant measure; group of homeomorphisms; finitely generated subgroup; Plante conditions;
D O I：
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学科分类号：
摘要：
In [1] (1975), for finitely generated groups of homeomorphisms of the line (the circle), Plante obtained a criterion for the existence of an invariant measure. In the paper, we obtain a criterion for the existence of an invariant measure for groups of homeomorphisms of the line (the circle) such that every finitely generated subgroup of the group satisfies the Plante conditions.
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页码：304 / 307
页数：3
相关论文
共 4 条
[1]  
Plante J F(1975)Foliations with measure preserving holonomy Ann. of Math. (2) 102 327-361
[2]  
Beklaryan L A(1993)Invariant and projectively invariant measures for groups of orientation-preserving homeomorphisms of ℝ Dokl. Ross. Akad. Nauk 332 679-681
[3]  
Beklaryan L A(1999)On the classification of groups of orientation-preserving homeomorphisms of ℝ. III. Mat. Sb. 190 43-62
[4]  
Beklaryan L A(1996)-projectively invariant measures Mat. Sb. 187 3-28
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