## Algebraic & Geometric Topology

### Meridional almost normal surfaces in knot complements

Robin Wilson

#### Abstract

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

#### Article information

Source
Algebr. Geom. Topol., Volume 8, Number 3 (2008), 1717-1740.

Dates
Received: 6 October 2007
Accepted: 1 September 2008
First available in Project Euclid: 20 December 2017

Permanent link to this document
https://projecteuclid.org/euclid.agt/1513796903

Digital Object Identifier
doi:10.2140/agt.2008.8.1717

Mathematical Reviews number (MathSciNet)
MR2448869

Zentralblatt MATH identifier
1173.57009

Subjects
Primary: 57M99: None of the above, but in this section

#### Citation

Wilson, Robin. Meridional almost normal surfaces in knot complements. Algebr. Geom. Topol. 8 (2008), no. 3, 1717--1740. doi:10.2140/agt.2008.8.1717. https://projecteuclid.org/euclid.agt/1513796903

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