Combinatorial -trees as generalized Cayley graphs for fundamental groups of one-dimensional spaces

被引：0

作者：

Fischer, Hanspeter ^{[1
]}

Zastrow, Andreas ^{[2
]}

机构：

[1] Ball State Univ, Dept Math Sci, Muncie, IN 47306 USA

[2] Univ Gdansk, Inst Math, PL-80952 Gdansk, Poland

来源：

GEOMETRIAE DEDICATA | 2013年 / 163卷 / 01期

关键词：

R-tree; Generalized Cayley graph; One-dimensional space;

D O I：

10.1007/s10711-012-9734-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In their study of fundamental groups of one-dimensional path-connected compact metric spaces, Cannon and Conner have asked: Is there a tree-like object that might be considered the topological Cayley graph? We answer this question in the positive and provide a combinatorial description of such an object.

引用

页码：19 / 43

页数：25

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