Normal measure
id:
normal-measure-164-15309606
title:
Normal measure
text:
In set theory, a normal measure is a measure on a measurable cardinal κ such that the equivalence class of the identity function on κ maps to κ itself in the ultrapower construction. Equivalently, if f:κ→κ is such that f(α)<α for most α<κ, then there is a β<κ such that f(α)=β for most α<κ. Also equivalent, the ultrafilter is closed under diagonal intersection. For a normal measure, any closed unbounded (club) subset of κ contains most ordinals less than κ and any subset containing most ordinals
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Normal_measure
date created:
2006-05-05T05:15:14Z
date modified:
2024-08-29T01:23:17Z
main entity:
{"identifier":"Q7051817","url":"https://www.wikidata.org/entity/Q7051817"}
image:
fields total:
13
integrity:
14