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

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

2011-07-07

arxiv.org/abs/1107.1480v1

Mathematics

Geometric Topology

25 pages, 3 figures

Scientific paper

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.

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