# Borel field of sets

From Encyclopedia of Mathematics

*family of Borel sets, generated by a system of sets *

The smallest system of sets containing and closed with respect to the operations of countable union and taking complements.

**How to Cite This Entry:**

Borel field of sets.

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Borel_field_of_sets&oldid=12369

This article was adapted from an original article by A.G. El'kin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article