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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 $U$ is the unknot, then $K=K\#U$ for any knot $K$
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"unknot" is owned by basseykay.
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Cross-references: connected sum, identity, vertices, projection, knot
There are 4 references to this entry.
This is version 3 of unknot, born on 2002-12-19, modified 2002-12-20.
Object id is 3777, canonical name is Unknot.
Accessed 4157 times total.
Classification:
| AMS MSC: | 57M25 (Manifolds and cell complexes :: Low-dimensional topology :: Knots and links in $S^3$) |
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Pending Errata and Addenda
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