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We construct a hyperbolic group with a hyperbolic subgroup for which inclusion does not induce a map of the boundaries.
Cannon-Thurston maps do not always exist
hyperbolic group Cannon–Thurston map Group Theory
2012/6/19
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.
