The boundary of the Gieseking tree in hyperbolic three-space

被引：16
|
作者：
Alperin, RC
Dicks, W
Porti, J
机构：
[1] San Jose State Univ, Dept Math & Comp Sci, San Jose, CA 95192 USA
[2] Univ Autonoma Barcelona, Dept Matemat, Barcelona 08193, Spain
[3] Univ Toulouse 3, CNRS UMR 5580, Lab Emile Picard, F-31062 Toulouse, France
来源：
TOPOLOGY AND ITS APPLICATIONS | 1999年 / 93卷 / 03期
关键词：
Gieseking manifold; Cannon-Thurston map; ends of topological spaces;
D O I：
10.1016/S0166-8641(97)00270-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give an elementary proof of the Cannon-Thurston Theorem in the case of the Gieseking manifold. We do not use Thurston's structure theory for Kleinian groups but simply calculate with two-by-two complex matrices. We work entirely on the boundary, using ends of trees, and obtain pictures of the regions which are successively filled in by the Peano curve of Cannon and Thurston. (C) 1999 Elsevier Science B.V. All rights reserved.
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页码：219 / 259
页数：41
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