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December 3, 2007Geometry and topology monographsOpen Access

Waldhausen's Theorem

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Abstract

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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Saul Schleimer (2007) studied this question.

synapsesocial.com/papers/6a20e2edb86afc1820180e09 https://doi.org/10.2140/gtm.2007.12.299

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