Kurepa tree
id:
kurepa-tree-202-15310981
title:
Kurepa tree
text:
In set theory, a Kurepa tree is a tree (T, <) of height ω1, each of whose levels is countable, and has at least ℵ2 many branches. This concept was introduced by Kurepa (1935). The existence of a Kurepa tree (known as the Kurepa hypothesis, though Kurepa originally conjectured that this was false) is consistent with the axioms of ZFC: Solovay showed in unpublished work that there are Kurepa trees in Gödel's constructible universe (Jech 1971). More precisely, the existence of Kurepa trees follows
brand slug:
wiki
category slug:
encyclopedia
description:
Tree
original url:
https://en.wikipedia.org/wiki/Kurepa_tree
date created:
date modified:
2024-03-04T06:22:34Z
main entity:
{"identifier":"Q5935117","url":"https://www.wikidata.org/entity/Q5935117"}
image:
fields total:
13
integrity:
14