# sequence

## Sequences

## Generalized sequences

One can generalize the above definition to any arbitrary ordinal^{}. For any set $X$, a *generalized sequence* or *transfinite sequence* in $X$ is a function $f:\omega \to X$ where $\omega $ is any ordinal number. If $\omega $ is a finite ordinal, then we say the sequence is a *finite sequence*.

Title | sequence |
---|---|

Canonical name | Sequence |

Date of creation | 2013-03-22 11:50:33 |

Last modified on | 2013-03-22 11:50:33 |

Owner | djao (24) |

Last modified by | djao (24) |

Numerical id | 11 |

Author | djao (24) |

Entry type | Definition |

Classification | msc 03E10 |

Classification | msc 40-00 |

Related topic | ConvergentSequence |

Defines | generalized sequence |

Defines | transfinite sequence |

Defines | finite sequence |