# level set

Let $A$ and $B$ be sets and $f$ a function mapping $A$ into $B$. Then the sets

$$\{x\mid f(x)=y\}$$ |

where $y\in B$ are known as the *level sets* (or *fibres*) of $f$.

Title | level set |
---|---|

Canonical name | LevelSet |

Date of creation | 2013-03-22 14:53:20 |

Last modified on | 2013-03-22 14:53:20 |

Owner | yark (2760) |

Last modified by | yark (2760) |

Numerical id | 6 |

Author | yark (2760) |

Entry type | Definition |

Classification | msc 03E20 |

Related topic | Fibre |

Related topic | ContourLine |