an:06209105
Zbl 1276.20054
Baker, O.; Riley, T. R.
Cannon-Thurston maps do not always exist
EN
Forum Math. Sigma 1, Paper No. e3, 11 p. (2013).
00324173
2013
j
20F67 57M50 20F05
hyperbolic groups; hyperbolic subgroups; Cannon-Thurston maps; finitely generated groups; Cayley graphs; Gromov boundaries
Summary: We construct a hyperbolic group with a hyperbolic subgroup for which inclusion does not induce a continuous map of the boundaries.