Cannon-Thurston maps for trees of hyperbolic metric spaces
Cannon-Thurston maps for trees of hyperbolic metric spaces
Let (X,d) be a tree (T) of hyperbolic metric spaces satisfying the quasiisometrically embedded condition.Let v be a vertex of T. Let (Xv,d v ) denote the hyperbolic metric space corresponding to v. Then i : Xv -+ X extends continuously to a map i : X; -+ X.This generalizes …