Projection (measure theory)
id:
projection-measure-theory-259-17403445
title:
Projection (measure theory)
text:
In measure theory, projection maps often appear when working with product (Cartesian) spaces: The product sigma-algebra of measurable spaces is defined to be the finest such that the projection mappings will be measurable. Sometimes for some reasons product spaces are equipped with 𝜎-algebra different than the product 𝜎-algebra. In these cases the projections need not be measurable at all. The projected set of a measurable set is called analytic set and need not be a measurable set. However, in
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Projection_(measure_theory)
date created:
date modified:
2023-04-05T21:39:47Z
main entity:
{"identifier":"Q55630563","url":"https://www.wikidata.org/entity/Q55630563"}
image:
fields total:
13
integrity:
13