Homogeneity of dynamically defined wild knots
| dc.creator | Hinojosa, Gabriela | |
| dc.creator | Verjovsky, Alberto | |
| dc.date | 2005-08-26 | |
| dc.date.accessioned | 2026-07-07T05:22:43Z | |
| dc.date.available | 2026-07-07T05:22:43Z | |
| dc.description | In this paper we prove that a wild knot $K$ which is the limit set of a Kleinian group acting conformally on the unit 3-sphere, with its standard metric, is homogeneous: given two points $p, q\in{K}$ there exists a homeomorphism $f$ of the sphere such that $f(K)=K$ and $f(p)=q$. We also show that if the wild knot is a fibered knot then we can choose an $f$ which preserves the fibers. | |
| dc.description | Accepted in Revista Matematica Complutense | |
| dc.identifier | https://arxiv.org/abs/math/0508540 | |
| dc.identifier | http://arxiv.org/abs/math/0508540 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76172 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M30; 57M45; 57Q45; 30F14 | |
| dc.title | Homogeneity of dynamically defined wild knots | |
| dc.type | text |