THE GROMOV BOUNDARY OF THE RAY GRAPH

被引：16

作者：

Bavard, Juliette ^{[1
,2
]}

Walker, Alden ^{[3
]}

机构：

[1] UPMC, Inst Math Jussieu Paris Rive Gauche, Paris, France

[2] Univ Rennes, CNRS, IRMAR, UMR 6625, F-35000 Rennes, France

[3] Ctr Commun Res, La Jolla, CA 92121 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 370卷 / 11期

关键词：

HOMEOMORPHISMS; HYPERBOLICITY;

D O I：

10.1090/tran/7204

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The ray graph is a Gromov-hyperbolic graph on which the mapping class group of the plane minus a Cantor set acts by isometries. We give a description of the Gromov boundary of the ray graph in terms of cliques of long rays on the plane minus a Cantor set. As a consequence, we prove that the Gromov boundary of the ray graph is homeomorphic to a quotient of a subset of the circle.

引用

页码：7647 / 7678

页数：32

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