Baire set
In mathematics, more specifically in measure theory, the Baire sets form a σ-algebra of a topological space that avoids some of the pathological properties of Borel sets. There are several inequivalent definitions of Baire sets, but in the most widely used, the Baire sets of a locally compact Hausdorff space form the smallest σ-algebra such that all compactly supported continuous functions are measurable. Thus, measures defined on this σ-algebra, called Baire measures, are a convenient framework for integration on locally compact Hausdorff spaces. In particular, any compactly supported continuous function on such a space is integrable with respect to any finite Baire measure.
Wikipage redirect
primaryTopic
Baire set
In mathematics, more specifically in measure theory, the Baire sets form a σ-algebra of a topological space that avoids some of the pathological properties of Borel sets. There are several inequivalent definitions of Baire sets, but in the most widely used, the Baire sets of a locally compact Hausdorff space form the smallest σ-algebra such that all compactly supported continuous functions are measurable. Thus, measures defined on this σ-algebra, called Baire measures, are a convenient framework for integration on locally compact Hausdorff spaces. In particular, any compactly supported continuous function on such a space is integrable with respect to any finite Baire measure.
has abstract
In mathematics, more specifica ...... d Kunihiko Kodaira and Halmos
@en
数学、特に測度論においてベール集合は測度論と位相空間論の関係 ...... スである。逆も全てではないが多くの重要な位相空間で成り立つ。
@ja
Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
1,017,878,507
Link from a Wikipage to another Wikipage
first
Kunihiko
@en
Shizuo
@en
id
p/b015050
@en
last
Kakutani
@en
Kodaira
@en
loc
Definition 4
@en
title
Baire set
@en
wikiPageUsesTemplate
comment
In mathematics, more specifica ...... t to any finite Baire measure.
@en
数学、特に測度論においてベール集合は測度論と位相空間論の関係 ...... スである。逆も全てではないが多くの重要な位相空間で成り立つ。
@ja
label
Baire set
@en
ベール集合
@ja
베르 집합
@ko