Shrinkwrapping and the taming of hyperbolic 3-manifolds

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We introduce a new technique for finding CAT(-1) surfaces in hyperbolic 3-manifolds. We use this to show that a complete hyperbolic 3-manifold with finitely generated fundamental group is geometrically and topologically tame.
60 pages, 7 figures; V3: incorporates referee's suggestions, references updated

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