Hausdorff paradox
id:
hausdorff-paradox-236-5028666
title:
Hausdorff paradox
text:
The Hausdorff paradox is a paradox in mathematics named after Felix Hausdorff. It involves the sphere S 2 . It states that if a certain countable subset is removed from S 2 , then the remainder can be divided into three disjoint subsets A , B and C such that A , B , C and B ∪ C are all congruent. In particular, it follows that on S 2 there is no finitely additive measure defined on all subsets such that the measure of congruent sets is equal. The paradox was published in Mathematische Annalen in
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Hausdorff_paradox
date created:
date modified:
2024-03-06T15:00:14Z
main entity:
{"identifier":"Q1959890","url":"https://www.wikidata.org/entity/Q1959890"}
image:
fields total:
13
integrity:
13