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 sumMathworldPlanetmathPlanetmath of knots; that is, if U is the unknot, then K=K#U for any knot K.

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 knotMathworldPlanetmath
Related topic KnotTheory