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

Hanspeter Fischer, Andreas Zastrow

Published 2011-07-07Version 1

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.