Critical point (set theory)
id:
critical-point-set-theory-251-1248337
title:
Critical point (set theory)
text:
In set theory, the critical point of an elementary embedding of a transitive class into another transitive class is the smallest ordinal which is not mapped to itself. Suppose that j : N → M is an elementary embedding where N and M are transitive classes and j is definable in N by a formula of set theory with parameters from N . Then j must take ordinals to ordinals and j must be strictly increasing. Also j = ω . If j = α for all α < κ and j > κ , then κ is said to be the critical point of j . I
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Critical_point_(set_theory)
date created:
date modified:
2021-06-06T12:13:12Z
main entity:
{"identifier":"Q5186748","url":"https://www.wikidata.org/entity/Q5186748"}
image:
fields total:
13
integrity:
13