Geosphere laminations in free groups

被引：1
|
作者：
Gadgil, Siddhartha [1 ]
Pandit, Suhas [2 ]
机构：
[1] Indian Inst Sci, Dept Math, Bangalore 560003, Karnataka, India
[2] Max Planck Inst Math, D-53111 Bonn, Germany
来源：
GEOMETRIAE DEDICATA | 2012年 / 158卷 / 01期
关键词：
Free groups; Laminations; Splittings; Scott-Swarup intersection numbers; TREES;
D O I：
10.1007/s10711-011-9629-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct for free groups, which are codimension one analogues of geodesic laminations on surfaces. Other analogues that have been constructed by several authors are dimension-one instead of codimension-one. Our main result is that the space of such laminations is compact. This in turn is based on the result that crossing, in the sense of Scott-Swarup, is an open condition. Our construction is based on Hatcher's normal form for spheres in the model manifold.
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页码：211 / 234
页数：24
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