Monotone class theorem
id:
monotone-class-theorem-303-8809420
title:
Monotone class theorem
text:
In measure theory and probability, the monotone class theorem connects monotone classes and 𝜎-algebras. The theorem says that the smallest monotone class containing an algebra of sets G is precisely the smallest 𝜎-algebra containing G . It is used as a type of transfinite induction to prove many other theorems, such as Fubini's theorem.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Monotone_class_theorem
date created:
date modified:
2023-09-07T12:02:03Z
main entity:
{"identifier":"Q242045","url":"https://www.wikidata.org/entity/Q242045"}
image:
fields total:
13
integrity:
13