# absolute retract

A topological space^{} $X$ is an *absolute retract ^{}* if, for every embedding of $X$ as a closed subset of a normal space

^{}$Y$, the image of $X$ is a retract

^{}of $Y$.

A topological space $X$ is an if, for every embedding of $X$ as a closed subset of a normal space $Y$, the image of $X$ is a neighborhood retract of $Y$.

Title | absolute retract |
---|---|

Canonical name | AbsoluteRetract |

Date of creation | 2013-03-22 14:39:35 |

Last modified on | 2013-03-22 14:39:35 |

Owner | rspuzio (6075) |

Last modified by | rspuzio (6075) |

Numerical id | 5 |

Author | rspuzio (6075) |

Entry type | Definition |

Classification | msc 54A99 |

Defines | absolute neighborhood retract |