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arxiv: 0903.0166 · v1 · submitted 2009-03-01 · 🧮 math.GT

Existence of ruled wrappings in hyperbolic 3-manifolds

classification 🧮 math.GT
keywords existencehyperbolicmanifoldsprooftheoremapplicablecalegaricertain
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We present a short elementary proof of an existence theorem of certain CAT(-1)-surfaces in open hyperbolic 3-manifolds. The main construction lemma in Calegari and Gabai's proof of Marden's Tameness Conjecture can be replaced by an applicable version of our theorem.

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