A knotted minimal tree
| dc.creator | Kuperberg, Krystyna | |
| dc.date | 1998-06-15 | |
| dc.date | 1998-10-15 | |
| dc.date.accessioned | 2026-07-07T05:25:03Z | |
| dc.date.available | 2026-07-07T05:25:03Z | |
| dc.description | This paper contains a construction of a finite set X in the boundary of the unit 3-ball in R^3 whose minimal tree is knotted. The example answers Problem 5.17 in ''Problems in Low-dimensional Topology'' by Rob Kirby posed by Michael Freedman: ''Given a finite set of points X in the boundary of B^3, let T be a tree in B^3 of minimal length containing X. Is T unknotted, that is, is there a PL imbedded 2-ball in B^3 containing T?'' | |
| dc.description | 14 pages, 14 figures, to appear in Communications in Contemporary Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/9806080 | |
| dc.identifier | http://arxiv.org/abs/math/9806080 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77044 | |
| dc.subject | Metric Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 52A38;57M25 | |
| dc.title | A knotted minimal tree | |
| dc.type | text |