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Difference between revisions of "Borel field of sets"

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''family of Borel sets, generated by a system of sets <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/b/b017/b017060/b0170601.png" />''
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''family of Borel sets, generated by a system of sets $M$''
  
The smallest system of sets containing <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/b/b017/b017060/b0170602.png" /> and closed with respect to the operations of countable union and taking complements.
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The smallest system of sets containing $M$ and closed with respect to the operations of countable union and taking complements.

Revision as of 17:39, 23 July 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.

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