Meaning of Borel measure | Babel Free

Definitions

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

Equivalents

Examples

“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”

CEFR level