The fundamental group of a locally finite graph with ends

被引：10
|
作者：
Diestel, Reinhard [1 ]
Spruessel, Philipp [1 ]
机构：
[1] Univ Hamburg, Math Seminar, D-20146 Hamburg, Germany
来源：
ADVANCES IN MATHEMATICS | 2011年 / 226卷 / 03期
关键词：
Fundamental group; Infinite words; Infinite graphs; Ends of graphs; Freudenthal compactification; Topological cycle space; SPANNING-TREES; CYCLES;
D O I：
10.1016/j.aim.2010.09.008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize the fundamental group of a locally finite graph G with ends combinatorially, as a group of infinite words. Our characterization gives rise to a canonical embedding of this group in the inverse limit of the free groups pi(1) (G`) with G` subset of G finite. (c) 2010 R. Diestel. Published by Elsevier Inc. All rights reserved.
引用
收藏
页码：2643 / 2675
页数：33
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