Volume 6 (2006)
Download this article
For screen
For printing
Recent Issues

Volume 12 (2012)
Issue 1 1–

Volume 11 (2011) 1–5

Volume 10 (2010) 1–4

Volume 9 (2009) 1–4

Volume 8 (2008) 1–4

Volume 7 (2007)

Volume 6 (2006)

Volume 5 (2005)

Volume 4 (2004)

Volume 3 (2003)

Volume 2 (2002)

Volume 1 (2001)
The Journal
About the Journal
Editorial Board
Editorial Interests
Author Index
Editorial procedure
Submission Guidelines
Submission Page
Author copyright form
Subscriptions
Contacts
G&T Publications
GTP Author Index

One-sided Heegaard splittings of RP³

Loretta Bartolini and J Hyam Rubinstein

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
Forward citations
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