Algebraic & Geometric Topology 6 (2006) 1319–1330

DOI: 10.2140/agt.2006.6.1319

arXiv: math.GT/0509007

Abstract

Using basic properties of one-sided Heegaard splittings, a direct proof that geometrically compressible one-sided splittings of RP³ are stabilised is given. The argument is modelled on that used by Waldhausen to show that two-sided splittings of S³ are standard.

Keywords

one-sided Heegaard splitting, geometrically compressible

Mathematical Subject Classification

Primary: 57M27

Secondary: 57N10

References

Publication

Received: 31 August 2005
Revised: 6 July 2006
Accepted: 20 July 2006
Published: 20 September 2006

Authors