Linked from

The 11 pages that link to Borel measure, each with the reason it gives.

• Lebesgue integralCompared with: Lebesgue integration can use completed measures that include subsets of null Borel sets.

• Lebesgue measureRelated: Lebesgue measure extends the length measure from Borel sets to a larger sigma-algebra.

• Countable additivityBroader topic: Countable additivity makes it possible to assign consistent mass to countable unions of Borel sets.

• Émile BorelRelated: Borel sets provide the domain on which this central measure-theoretic object is defined.

• Measure spaceRelated: It connects measurable subsets to the topology of the underlying space.

• Henri LebesgueRelated: Émile Borel’s work on sets and measure helped establish the setting Lebesgue extended.

• Haar measureRelated: Haar measure assigns sizes to Borel sets of the group.

• Portmanteau theoremRelated: The theorem’s topological conditions are expressed through Borel sets.

• Nonmeasurable setCompared with: A set may fail to be Borel yet become measurable after the measure’s domain is completed.

• Riesz–Markov–Kakutani representation theoremNarrower topic: The representing measure is defined on the Borel sets.

• Skorokhod representation theoremNarrower topic: The theorem represents Borel probability measures on the underlying space.