One-sided Heegaard splittings of RP^3

Abstract

Using basic properties of one-sided Heegaard splittings, a direct proof that geometrically compressible one-sided splittings of RP^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.

This is the version published by Algebraic & Geometric Topology on 20 September 2006

Cited by in corpus (3)

• Waldhausen's Theorem
• Even triangulations of n-dimensional pseudo-manifolds
• One-sided Heegaard splittings of non-Haken 3-manifolds