Convergence and isotopy type for graphs of finite total curvature
| dc.creator | Denne, Elizabeth | |
| dc.creator | Sullivan, John M | |
| dc.date | 2006-06-01 | |
| dc.date | 2007-10-24 | |
| dc.date.accessioned | 2026-07-07T08:38:13Z | |
| dc.date.available | 2026-07-07T08:38:13Z | |
| dc.description | Generalizing Milnor's result that an FTC (finite total curvature) knot has an isotopic inscribed polygon, we show that any two nearby knotted FTC graphs are isotopic by a small isotopy. We also show how to obtain sharper constants when the starting curve is smooth. We apply our main theorem to prove a limiting result for essential subarcs of a knot. | |
| dc.description | 12 pages, 3 figures; final version, to appear in "Discrete Differential Geometry", Oberwolfach Seminars 38, Birkhauser, 2008 | |
| dc.identifier | https://arxiv.org/abs/math/0606008 | |
| dc.identifier | http://arxiv.org/abs/math/0606008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140647 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25 (Primary); 05C10, 57M15 (Secondary) | |
| dc.title | Convergence and isotopy type for graphs of finite total curvature | |
| dc.type | text |