# Heine-Borel theorem

A subset $A$ of ${\mathbb{R}}^{n}$ is compact^{} if and only if $A$ is closed (http://planetmath.org/TopologicalSpace) and bounded^{}.

Title | Heine-Borel theorem |
---|---|

Canonical name | HeineBorelTheorem |

Date of creation | 2013-03-22 12:05:09 |

Last modified on | 2013-03-22 12:05:09 |

Owner | Evandar (27) |

Last modified by | Evandar (27) |

Numerical id | 8 |

Author | Evandar (27) |

Entry type | Theorem |

Classification | msc 54D30 |

Related topic | Compact |

Related topic | ProofOfLeastAndReatestValueOfFunction |