Hausdorff maximal principle
id:
hausdorff-maximal-principle-173-7732033
title:
Hausdorff maximal principle
text:
In mathematics, the Hausdorff maximal principle is an alternate and earlier formulation of Zorn's lemma proved by Felix Hausdorff in 1914. It states that in any partially ordered set, every totally ordered subset is contained in a maximal totally ordered subset, where "maximal" is with respect to set inclusion. In a partially ordered set, a totally ordered subset is also called a chain. Thus, the maximal principle says every chain in the set extends to a maximal chain. The Hausdorff maximal prin
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical result or axiom on order relations
original url:
https://en.wikipedia.org/wiki/Hausdorff_maximal_principle
date created:
2001-08-17T23:16:17Z
date modified:
2024-09-02T07:21:13Z
main entity:
{"identifier":"Q738328","url":"https://www.wikidata.org/entity/Q738328"}
image:
fields total:
13
integrity:
15