Borel measure

plural Borel measures

1. mathematical analysisA measure whose domain is the Borel σ-algebra of a locally compact Hausdorff space.

   1 more example

   We are now in a position to construct a definitive theory for measuring subsets of #92;mathbb#123;R#125; based on the idea that the measure of an interval is its length. We begin with a more general (but only slightly more complicated) construction that yields a large family of measures on #92;mathbb#123;R#125; whose domain is the Borel σ-algebra #92;mathcal#123;B#125;#95;#123;#92;mathbb#123;R

   1999, Gerald B. Folland, Real Analysis: Modern Techniques and Their Applications, 2nd edition, New York: John Wiley & Sons, Inc., →ISBN, →OCLC, §1.5, page 33