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arxiv: 0904.0182 · v1 · submitted 2009-04-01 · 🧮 math.GT

Waldhausen's Theorem

classification 🧮 math.GT
keywords theoremwaldhauseneveryexpositiongenusgiveheegaardisotopy
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This note is an exposition of Waldhausen's proof of Waldhausen's Theorem: the three-sphere has a single Heegaard splitting, up to isotopy, in every genus. As a necessary step we also give a sketch of the Reidemeister-Singer Theorem.

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