Aronszajn line
id:
aronszajn-line-259-9025161
title:
Aronszajn line
text:
In mathematical set theory, an Aronszajn line is a linear ordering of cardinality ℵ 1 which contains no subset order-isomorphic to ω 1 with the usual ordering
the reverse of ω 1 an uncountable subset of the Real numbers with the usual ordering. Unlike Suslin lines, the existence of Aronszajn lines is provable using the standard axioms of set theory. A linear ordering is an Aronszajn line if and only if it is the lexicographical ordering of some Aronszajn tree.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Aronszajn_line
date created:
date modified:
2024-03-04T06:02:00Z
main entity:
{"identifier":"Q4795568","url":"https://www.wikidata.org/entity/Q4795568"}
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13
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