Combinatorial R-trees as generalized Cayley graphs for fundamental groups of one-dimensional spaces
Geometric Topology
2015-03-19 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1107.1480,
title = {Combinatorial R-trees as generalized Cayley graphs for fundamental groups of one-dimensional spaces},
author = {Hanspeter Fischer and Andreas Zastrow},
journal= {arXiv preprint arXiv:1107.1480},
year = {2015}
}
Comments
25 pages, 3 figures