#### Volume 8, issue 3 (2008)

 Recent Issues
 The Journal About the Journal Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Subscriptions Author Index To Appear Contacts ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
Meridional almost normal surfaces in knot complements

### Robin Todd Wilson

Algebraic & Geometric Topology 8 (2008) 1717–1740
##### Abstract

Suppose $K$ is a knot in a closed 3–manifold $M$ such that $M-N\left(K\right)$ is irreducible. We show that for any integer $n$ there exists a triangulation of $M-N\left(K\right)$ such that any weakly incompressible bridge surface for $K$ of $n$ bridges or fewer is isotopic to an almost normal bridge surface.

##### Keywords
normal surface, Heegaard surface, bridge position, strongly irreducible, weakly incompressible
Primary: 57M99