unknot
The unknot is the knot with a projection containing no crossings, or equivalently the knot with three vertices. The unknot forms an identity when working with the connected sum![]()
of knots; that is, if is the unknot, then for any knot .
| Title | unknot |
|---|---|
| Canonical name | Unknot |
| Date of creation | 2013-03-22 13:17:24 |
| Last modified on | 2013-03-22 13:17:24 |
| Owner | basseykay (877) |
| Last modified by | basseykay (877) |
| Numerical id | 6 |
| Author | basseykay (877) |
| Entry type | Definition |
| Classification | msc 57M25 |
| Synonym | trivial knot |
| Related topic | KnotTheory |