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Baire set

From Encyclopedia of Mathematics
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in a locally compact Hausdorff space

[ 2010 Mathematics Subject Classification MSN: 28A05,(03E15,54H05) | MSCwiki: 28A05   + 03E15,54H05  ]

A set belonging to the -ring generated by the class of all compact sets in that are -sets. A Baire set serves to define the concept of a Baire-measurable function. In all classical particular cases in which measure theory is developed in topological spaces, e.g. in Euclidean spaces, the concept of a Baire set coincides with that of a Borel set.

References

[1] P.R. Halmos, "Measure theory" , v. Nostrand (1950)
How to Cite This Entry:
Baire set. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Baire_set&oldid=20208
This article was adapted from an original article by V.A. Skvortsov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article