# contractible

A topological space^{} is said to be *contractible* if it is homotopy equivalent to a point. Equivalently, the space is contractible if a constant map is homotopic^{} to the identity map. A contractible space has a trivial fundamental group^{}.

Title | contractible |
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Canonical name | Contractible |

Date of creation | 2013-03-22 12:13:24 |

Last modified on | 2013-03-22 12:13:24 |

Owner | RevBobo (4) |

Last modified by | RevBobo (4) |

Numerical id | 9 |

Author | RevBobo (4) |

Entry type | Definition |

Classification | msc 55Q52 |

Related topic | HomotopyOfMaps |

Related topic | HomotopyEquivalence |

Related topic | HomotopyWithAContractibleDomain |