# Difference between revisions of "Borel field of sets"

From Encyclopedia of Mathematics

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− | The smallest system of sets containing $M$ and closed with respect to the operations of countable union and taking complements. | + | The smallest system of sets containing $M$ and closed with respect to the operations of countable union and taking complements (see also [[Algebra of sets|$\sigma$-algebra]]. |

## Revision as of 08:12, 19 September 2012

*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=27188

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