Sierpiński set
id:
sierpi-ski-set-300-9444342
title:
Sierpiński set
text:
In mathematics, a Sierpiński set is an uncountable subset of a real vector space whose intersection with every measure-zero set is countable. The existence of Sierpiński sets is independent of the axioms of ZFC. Sierpiński (1924) showed that they exist if the continuum hypothesis is true. On the other hand, they do not exist if Martin's axiom for ℵ1 is true. Sierpiński sets are weakly Luzin sets but are not Luzin sets.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Sierpi%C5%84ski_set
date created:
date modified:
2022-01-09T10:35:25Z
main entity:
{"identifier":"Q1287858","url":"https://www.wikidata.org/entity/Q1287858"}
image:
fields total:
13
integrity:
13