The fundamental group of a visual boundary versus the fundamental group at infinity

被引：5
|
作者：
Conner, GR
Fischer, H [1 ]
机构：
[1] Ball State Univ, Dept Math Sci, Muncie, IN 47306 USA
[2] Brigham Young Univ, Dept Math, Provo, UT 84602 USA
来源：
TOPOLOGY AND ITS APPLICATIONS | 2003年 / 129卷 / 01期
关键词：
fundamental group; CAT(0); non-positive curvature; visual boundary; fundamental group at infinity;
D O I：
10.1016/S0166-8641(02)00138-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
There is a natural homomorphism from the fundamental group of the boundary of any non-positively curved geodesic space to its fundamental group at infinity. We will show that this homomorphism is an isomorphism in case the boundary admits a universal covering space, and that it is injective in case the boundary is one-dimensional. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：73 / 78
页数：6
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