If is the Borel sigma-algebra on some topological space, then a measure is said to be a Borel measure (or Borel probability measure). For a Borel measure, all continuous functions are measurable.

# Borel Measure

## See also

Regular Borel Measure## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Borel Measure." From
*MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/BorelMeasure.html