# Lindelöf theorem

If a topological space^{} $(X,\tau )$ satisfies the second axiom of countability, and if $A$ is any subset of $X$, then any open cover for $A$ has a countable subcover.

In particular, we have that $(X,\tau )$ is a Lindelöf space (http://planetmath.org/lindelofspace).

Title | Lindelöf theorem |
---|---|

Canonical name | LindelofTheorem |

Date of creation | 2014-11-06 13:45:28 |

Last modified on | 2014-11-06 13:45:28 |

Owner | drini (3) |

Last modified by | pahio (2872) |

Numerical id | 7 |

Author | drini (2872) |

Entry type | Theorem |

Classification | msc 54D99 |

Related topic | SecondCountable |

Related topic | Lindelof |