# compactly generated

A Hausdorff topological space $X$ is said to be *compactly generated* if for each $A\subset X$, $A$ is closed if and only if $A\cap C$ is closed for every compact^{} $C\subset X$.

Title | compactly generated |
---|---|

Canonical name | CompactlyGenerated |

Date of creation | 2013-03-22 12:16:00 |

Last modified on | 2013-03-22 12:16:00 |

Owner | RevBobo (4) |

Last modified by | RevBobo (4) |

Numerical id | 5 |

Author | RevBobo (4) |

Entry type | Definition |

Classification | msc 54E99 |