# Borel field of sets

From Encyclopedia of Mathematics

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

2010 Mathematics Subject Classification: *Primary:* 28A05 [MSN][ZBL]

The smallest system of sets containing $M$ and closed with respect to the operations of countable union and taking complements (see also $\sigma$-algebra).

**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=28118

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