Zorn's lemma
id:
zorn-s-lemma-168-948048
title:
Zorn's lemma
text:
Zorn's lemma, also known as the Kuratowski–Zorn lemma, is a proposition of set theory. It states that a partially ordered set containing upper bounds for every chain necessarily contains at least one maximal element. The lemma was proved by Kazimierz Kuratowski in 1922 and independently by Max Zorn in 1935. It occurs in the proofs of several theorems of crucial importance, for instance the Hahn–Banach theorem in functional analysis, the theorem that every vector space has a basis, Tychonoff's th
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical proposition equivalent to the axiom of choice
original url:
https://en.wikipedia.org/wiki/Zorn%27s_lemma
date created:
2001-08-27T17:13:25Z
date modified:
2024-08-30T17:06:46Z
main entity:
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image:
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fields total:
13
integrity:
16