Semiconjugacies Between Relatively Hyperbolic Boundaries

Mathematics – Geometric Topology

Scientific paper

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10 pgs, no figs. A considerably more elaborate and somewhat clumsier proof of the main result of the present paper had been sk

Scientific paper

We prove the existence of Cannon-Thurston maps for Kleinian groups
corresponding to pared manifolds whose boundary is incompressible away from
cusps. We also describe the structure of these maps in terms of ending
laminations.

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