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2006 One-sided Heegaard splittings of $\mathbb{R}\mathrm{P}^3$
Loretta Bartolini, J Hyam Rubinstein
Algebr. Geom. Topol. 6(3): 1319-1330 (2006). DOI: 10.2140/agt.2006.6.1319

Abstract

Using basic properties of one-sided Heegaard splittings, a direct proof that geometrically compressible one-sided splittings of P3 are stabilised is given. The argument is modelled on that used by Waldhausen to show that two-sided splittings of S3 are standard.

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Loretta Bartolini. J Hyam Rubinstein. "One-sided Heegaard splittings of $\mathbb{R}\mathrm{P}^3$." Algebr. Geom. Topol. 6 (3) 1319 - 1330, 2006. https://doi.org/10.2140/agt.2006.6.1319

Information

Received: 31 August 2005; Revised: 6 July 2006; Accepted: 20 July 2006; Published: 2006
First available in Project Euclid: 20 December 2017

zbMATH: 1133.57005
MathSciNet: MR2253448
Digital Object Identifier: 10.2140/agt.2006.6.1319

Subjects:
Primary: 57M27
Secondary: 57N10

Rights: Copyright © 2006 Mathematical Sciences Publishers

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