Wild Knots as limit sets of Kleinian Groups
| dc.creator | Hinojosa, Gabriela | |
| dc.date | 2005-09-06 | |
| dc.date.accessioned | 2026-07-07T05:22:59Z | |
| dc.date.available | 2026-07-07T05:22:59Z | |
| dc.description | In this paper we study kleinian groups of Schottky type whose limit set is a wild knot in the sense of Artin and Fox. We show that, if the ``original knot'' fibers over the circle then the wild knot $Λ$ also fibers over the circle. As a consequence, the universal covering of $\mathbb{S}^{3}-Λ$ is $\mathbb{R}^{3}$. We prove that the complement of a dynamically-defined fibered wild knot can not be a complete hyperbolic 3-manifold. | |
| dc.description | 20 pages, 6 figures. To appear in Contemporary Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0509124 | |
| dc.identifier | http://arxiv.org/abs/math/0509124 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76271 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M30; 57M45; 57Q45; 30F14 | |
| dc.title | Wild Knots as limit sets of Kleinian Groups | |
| dc.type | text |