Borel regular measure
id:
borel-regular-measure-192-15058320
title:
Borel regular measure
text:
In mathematics, an outer measure μ on n-dimensional Euclidean space Rn is called a Borel regular measure if the following two conditions hold: Every Borel set B ⊆ Rn is μ-measurable in the sense of Carathéodory's criterion: for every A ⊆ Rn, For every set A ⊆ Rn there exists a Borel set B ⊆ Rn such that A ⊆ B and μ(A) = μ(B). Notice that the set A need not be μ-measurable: μ(A) is however well defined as μ is an outer measure.
An outer measure satisfying only the first of these two requirements
brand slug:
wiki
category slug:
encyclopedia
description:
Type of measure on Euclidean spaces
original url:
https://en.wikipedia.org/wiki/Borel_regular_measure
date created:
date modified:
2021-12-23T05:12:47Z
main entity:
{"identifier":"Q3088680","url":"https://www.wikidata.org/entity/Q3088680"}
image:
fields total:
13
integrity:
14