# Difference between revisions of "Borel field of sets"

From Encyclopedia of Mathematics

m (TeX, MSC) |
|||

(3 intermediate revisions by 2 users not shown) | |||

Line 4: | Line 4: | ||

{{TEX|done}} | {{TEX|done}} | ||

− | 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|$\sigma$-algebra]]). |

## Latest revision as of 07:01, 23 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://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