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

页码：73 / 78

页数：6

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