Difference between revisions of "Borel field of sets"
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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 07:12, 19 September 2012
family of Borel sets, generated by a system of sets $M$
2020 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=28036
Borel field of sets. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Borel_field_of_sets&oldid=28036
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