# singular measure

Two measures^{} $\mu $ and $\nu $ in a measurable space^{} $(\mathrm{\Omega},\mathcal{A})$ are
called *singular* if there exist two disjoint sets $A$ and $B$ in $\mathcal{A}$ such that $A\cup B=\mathrm{\Omega}$ and $\mu (B)=\nu (A)=0$.
This is denoted by $\mu \u27c2\nu $.

Title | singular measure |
---|---|

Canonical name | SingularMeasure |

Date of creation | 2013-03-22 13:26:26 |

Last modified on | 2013-03-22 13:26:26 |

Owner | Koro (127) |

Last modified by | Koro (127) |

Numerical id | 7 |

Author | Koro (127) |

Entry type | Definition |

Classification | msc 28A12 |

Defines | singular |