On Distortion and Thickness of Knots
| dc.creator | Kusner, Robert B. | |
| dc.creator | Sullivan, John M. | |
| dc.date | 1997-02-04 | |
| dc.date.accessioned | 2026-07-07T09:12:58Z | |
| dc.date.available | 2026-07-07T09:12:58Z | |
| dc.description | What length of rope (of given diameter) is required to tie a particular knot? To answer this question, we define some new notions of thickness for a space curve, one based on Gromov's distortion, and another generalizing the thickness of Litherland, Simon et al. We prove a basic inequality between these thickness measures, and show that the distortion thickness is upper semi-continuous in the C^0 topology, suggesting that shortest curves of thickness 1 should exist in each knot class. | |
| dc.description | 13 pages, LaTeX2e | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9702001 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9702001 | |
| dc.identifier | in "Topology and Geometry in Polymer Science" (IMA 103), Springer, 1998, pp 67-78 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152202 | |
| dc.subject | Differential Geometry | |
| dc.title | On Distortion and Thickness of Knots | |
| dc.type | text |