# quasi-compact

A topological space^{} is called quasi-compact if every open cover of it has a finite subcover. The distinction compact spaces and quasi-compact spaces exists because some people insist that a space that is compact^{} must be a Hausdorff space. This distinction occurs for example in Robin Hartshorneâ€™s book Algebraic Geometry^{}.

Title | quasi-compact |
---|---|

Canonical name | Quasicompact |

Date of creation | 2013-03-22 12:15:31 |

Last modified on | 2013-03-22 12:15:31 |

Owner | Wkbj79 (1863) |

Last modified by | Wkbj79 (1863) |

Numerical id | 7 |

Author | Wkbj79 (1863) |

Entry type | Definition |

Classification | msc 54-00 |

Synonym | quasicompact |

Related topic | Compact |