Additivity of Bridge Number of Knots
| dc.creator | Schultens, Jennifer | |
| dc.date | 2001-11-02 | |
| dc.date.accessioned | 2026-07-07T04:44:14Z | |
| dc.date.available | 2026-07-07T04:44:14Z | |
| dc.description | 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. | |
| dc.description | 6 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/math/0111032 | |
| dc.identifier | http://arxiv.org/abs/math/0111032 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62554 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57N10 | |
| dc.title | Additivity of Bridge Number of Knots | |
| dc.type | text |