#### Volume 6, issue 3 (2006)

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One-sided Heegaard splittings of $\mathbb{R}\mathrm{P}^3$

### Loretta Bartolini and J Hyam Rubinstein

Algebraic & Geometric Topology 6 (2006) 1319–1330
 arXiv: math.GT/0509007
##### Abstract

Using basic properties of one-sided Heegaard splittings, a direct proof that geometrically compressible one-sided splittings of $ℝ{P}^{3}$ are stabilised is given. The argument is modelled on that used by Waldhausen to show that two-sided splittings of ${S}^{3}$ are standard.

##### Keywords
one-sided Heegaard splitting, geometrically compressible
Primary: 57M27
Secondary: 57N10
##### Publication
Received: 31 August 2005
Revised: 6 July 2006
Accepted: 20 July 2006
Published: 20 September 2006
##### Authors
 Loretta Bartolini Department of Mathematics and Statistics University of Melbourne Parkville VIC 3010 Australia J Hyam Rubinstein Department of Mathematics and Statistics University of Melbourne Parkville VIC 3010 Australia