The projections of n-knots which are not the projection of any unknotted knot
| dc.creator | Ogasa, Eiji | |
| dc.date | 2000-03-15 | |
| dc.date.accessioned | 2026-07-07T06:35:20Z | |
| dc.date.available | 2026-07-07T06:35:20Z | |
| dc.description | Let n be any integer greater than two. We prove that there exists a projection P having the following properties. (1) P is not the projection of any unknotted knot. (2) The singular point set of P consists of double points. (3) P is the projection of an n-knot which is diffeomorphic to the standard sphere. We prove there exists an immersed n-sphere (in R^{n+1}\times{0}) which is not the projection of any n-knot (n>2). Note that the second theorem is different from the first one. | |
| dc.description | 12 pages, no figure | |
| dc.identifier | https://arxiv.org/abs/math/0003088 | |
| dc.identifier | http://arxiv.org/abs/math/0003088 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99763 | |
| dc.subject | Geometric Topology | |
| dc.subject | Mathematical Physics | |
| dc.subject | 57M25, 57Q45 | |
| dc.title | The projections of n-knots which are not the projection of any unknotted knot | |
| dc.type | text |