Additivity of Bridge Number of Knots
Geometric Topology
2007-05-23 v1
Abstract
We provide a new proof of the following results of H. Schubert: If K is a satellite knot with companion J and pattern L that lies in a solid torus T in which it has index k, then the bridge numbers satisfy the following: 1) The bridge number of K is greater than or equal to the product of k and the bridge number of J; 2) If K is a composite knot (this is the case k = 1), then the bridge number of K is one less than the sum of the bridge numbers of J and L.
Cite
@article{arxiv.math/0111032,
title = {Additivity of Bridge Number of Knots},
author = {Jennifer Schultens},
journal= {arXiv preprint arXiv:math/0111032},
year = {2007}
}
Comments
6 pages, 4 figures