Long line knots
| dc.creator | Baillif, Mathieu | |
| dc.creator | Cimasoni, David | |
| dc.date | 2004-06-09 | |
| dc.date.accessioned | 2026-07-07T05:09:04Z | |
| dc.date.available | 2026-07-07T05:09:04Z | |
| dc.description | We study continuous embeddings of the long line L into L^n (n>1) up to ambient isotopy of L^n. We define the direction of an embedding and show that it is (almost) a complete invariant in the case n=2 for continuous embeddings, and in the case n>3 for differentiable ones. Finally, we prove that the classification of smooth embeddings L \to L^3 is equivalent to the classification of classical oriented knots. | |
| dc.description | 11 pages, 4 figures, to appear in Arch. Math. 82 (2004) | |
| dc.identifier | https://arxiv.org/abs/math/0406179 | |
| dc.identifier | http://arxiv.org/abs/math/0406179 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71500 | |
| dc.subject | General Topology | |
| dc.subject | Logic | |
| dc.subject | 57N37, 03E10, 57M25 | |
| dc.title | Long line knots | |
| dc.type | text |