# saturated (set)

If $p:X\u27f6Y$ is a surjective map, we say that a subset $C\subseteq X$ is saturated (with respect to p) if $C$ contains every set ${p}^{-1}(\{y\})$ it intersects. Equivalently, $C$ is saturated if it is a union of fibres.

Title | saturated (set) |
---|---|

Canonical name | Saturatedset |

Date of creation | 2013-03-22 12:55:20 |

Last modified on | 2013-03-22 12:55:20 |

Owner | drini (3) |

Last modified by | drini (3) |

Numerical id | 5 |

Author | drini (3) |

Entry type | Definition |

Classification | msc 03E99 |

Synonym | saturated |