Luzin N property
id:
luzin-n-property-323-4654195
title:
Luzin N property
text:
In mathematics, a function f on the interval [a, b] has the Luzin N property, named after Nikolai Luzin if for all N ⊂ [ a , b ] such that λ = 0 , there holds: λ = 0 , where λ stands for the Lebesgue measure. Note that the image of such a set N is not necessarily measurable, but since the Lebesgue measure is complete, it follows that if the Lebesgue outer measure of that set is zero, then it is measurable and its Lebesgue measure is zero as well.
brand slug:
wiki
category slug:
encyclopedia
description:
Measure theory concept
original url:
https://en.wikipedia.org/wiki/Luzin_N_property
date created:
date modified:
2023-11-03T08:50:43Z
main entity:
{"identifier":"Q1160012","url":"https://www.wikidata.org/entity/Q1160012"}
image:
fields total:
13
integrity:
14