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

Hanspeter Fischer; Andreas Zastrow

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arXiv · 1107.1480

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

Hanspeter Fischer·Andreas Zastrow

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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.

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BibTeX RIS

Hanspeter Fischer, Andreas Zastrow. 2011-07-07. Combinatorial R-trees as generalized Cayley graphs for fundamental groups of one-dimensional spaces. https://arxiv.org/abs/1107.1480

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