# 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 $U$ is the unknot, then $K=K\mathrm{\#}U$ 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 knot^{} |

Related topic | KnotTheory |