Waldhausen's Theorem
arXiv:0904.0182 · doi:10.2140/gtm.2007.12.299
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.
This is the version published by Geometry & Topology Monographs on 3 December 2007