Borel Sigma-Algebra

A sigma-algebra which is related to the topology of a set. The Borel sigma-algebra is defined to be the sigma-algebra generated by the open sets (or equivalently, by the closed sets).

See also

Borel Measure, Borel Subalgebra, Sigma-Algebra

Explore with Wolfram|Alpha

Cite this as:

Weisstein, Eric W. "Borel Sigma-Algebra." From MathWorld--A Wolfram Web Resource.

Subject classifications