# regular measure

###### Definition 0.1.

A regular measure ${\mu}_{R}$ on a topological space^{} $X$ is a measure^{} on $X$ such that
for each $A\in \mathcal{B}(X)$ , with $$), and each $\epsilon >0$
there exist a compact subset $K$ of $X$ and an open subset $G$ of $X$ with $K\subset A\subset G$,
such that for all sets ${A}^{\prime}\in \mathcal{B}(X)$ with ${A}^{\prime}\subset G-K$, one has $$.

Title | regular measure |
---|---|

Canonical name | RegularMeasure |

Date of creation | 2013-03-22 18:23:07 |

Last modified on | 2013-03-22 18:23:07 |

Owner | bci1 (20947) |

Last modified by | bci1 (20947) |

Numerical id | 5 |

Author | bci1 (20947) |

Entry type | Definition |

Classification | msc 28C15 |

Classification | msc 28A12 |

Classification | msc 28A10 |

Related topic | OuterMeasure |