Waldhausen's Theorem
Geometric Topology
2009-04-02 v1
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.
Cite
@article{arxiv.0904.0182,
title = {Waldhausen's Theorem},
author = {Saul Schleimer},
journal= {arXiv preprint arXiv:0904.0182},
year = {2009}
}
Comments
This is the version published by Geometry & Topology Monographs on 3 December 2007