-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

页码：723 / 736

页数：14

共 16 条

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