-trees and laminations for free groups I: algebraic laminations

被引：37
|
作者：
Coulbois, Thierry [1 ]
Hilion, Arnaud [1 ]
Lustig, Martin [1 ]
机构：
[1] Univ Paul Cezanne Aix Marseille III, Math LATP, F-13397 Marseille 20, France
来源：
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2008年 / 78卷
关键词：
D O I：
10.1112/jlms/jdn052
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is the first of a sequence of three papers, where the concept of a real tree dual to a measured geodesic lamination in a hyperbolic surface is generalized to arbitrary real trees provided with a (very small) action of a free group by isometries. Laminations for free groups are defined with care in three different approaches: algebraic laminations, symbolic laminations, and laminary languages. The topology on the space of laminations and the action of the outer automorphisms group are detailed.
引用
收藏
页码：723 / 736
页数：14
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