Cannon-Thurston maps do not always exist
Group Theory
2015-03-20 v4
Abstract
We construct an example of a hyperbolic group with a hyperbolic subgroup for which the Cannon-Thurston map does not exist. That is, inclusion does not induce a map of the boundaries.
Keywords
Cite
@article{arxiv.1206.0505,
title = {Cannon-Thurston maps do not always exist},
author = {Owen Baker and Timothy Riley},
journal= {arXiv preprint arXiv:1206.0505},
year = {2015}
}
Comments
Referee's comments incorporated. To appear in Forum of Mathematics Sigma