# countably infinite

A set $S$ is countably infinite^{} if there is a bijection between $S$ and $\mathbb{N}$.

Countably infinite sets are also sometimes called *denumerable*.

Title | countably infinite |
---|---|

Canonical name | CountablyInfinite |

Date of creation | 2013-03-22 11:59:05 |

Last modified on | 2013-03-22 11:59:05 |

Owner | vampyr (22) |

Last modified by | vampyr (22) |

Numerical id | 7 |

Author | vampyr (22) |

Entry type | Definition |

Classification | msc 03E10 |

Synonym | denumerable |

Related topic | NumerableSet |