Definition:Borel Measure

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Definition

Let $d \in \N$.

Let $\map \BB {\R^d}$ be the Borel $\sigma$-algebra on $\R^d$.

Let $\mu$ be a measure on $\struct {\R^d, \map \BB {\R^d} }$.

We say that $\mu$ is a Borel measure.

Also see

• Definition:Signed Borel Measure
• Definition:Radon Measure

• Results about Borel measures can be found here.

Source of Name

This entry was named for Émile Borel.