带端点的局部有限图的基本群
组合数学
2009-10-30 v1 代数拓扑
群论
摘要
我们从组合角度将带端点的局部有限图G的基本群刻画为一个无限词群。我们的刻画给出了该群到G的有限子图的（自由）基本群的逆向极限中的一个典范嵌入。
引用
@article{arxiv.0910.5647,
title = {The fundamental group of a locally finite graph with ends},
author = {Reinhard Diestel and Philipp Sprüssel},
journal= {arXiv preprint arXiv:0910.5647},
year = {2009}
}
备注
38 pages. This is an extended version of the paper "The fundamental group of a locally finite graph with ends" by the same authors. It differs from that paper only in that it offers proofs for Lemmas 2, 4, 6, 7, 8, 9 and 20, and a longer example in Section 5