# Dehn’s lemma

The Dehn’s lemma states that if a continuous map^{} from a
2-disk (http://planetmath.org/StandardNBall) to a 3-manifold
$f:{D}^{2}\to M$ for which ${f}^{-1}f\partial {D}^{2}={D}^{2}$, then there exists an embedding^{} $g:{D}^{2}\to M$ such that the restrictions^{} $g|\partial $ and $f|\partial $ are
equal.

Title | Dehn’s lemma |
---|---|

Canonical name | DehnsLemma |

Date of creation | 2013-03-22 15:45:32 |

Last modified on | 2013-03-22 15:45:32 |

Owner | juanman (12619) |

Last modified by | juanman (12619) |

Numerical id | 11 |

Author | juanman (12619) |

Entry type | Theorem |

Classification | msc 57M35 |

Synonym | Dehn’s lemma |

Related topic | 3Manifolds |