Multiple bridge surfaces restrict knot distance
| dc.creator | Tomova, Maggy | |
| dc.date | 2005-11-05 | |
| dc.date | 2006-11-16 | |
| dc.date.accessioned | 2026-07-07T06:50:50Z | |
| dc.date.available | 2026-07-07T06:50:50Z | |
| dc.description | Suppose M is a closed irreducible orientable 3-manifold, K is a knot in M, P and Q are bridge surfaces for K and K is not removable with respect to Q. We show that either Q is equivalent to P or $d(K,P) \leq 2-χ(Q-K)$. If K is not a two bridge knot, then the result holds even if K is removable with respect to Q. As a corollary we show that if a knot in the 3-sphere has high distance with respect to some bridge sphere and low bridge number, then the knot has a unique minimal bridge position. | |
| dc.description | 47 pages, 16 figures, references and figures added, the main result has been slightly strengthened | |
| dc.identifier | https://arxiv.org/abs/math/0511139 | |
| dc.identifier | http://arxiv.org/abs/math/0511139 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104792 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25, 57M27, 57M50 | |
| dc.title | Multiple bridge surfaces restrict knot distance | |
| dc.type | text |