Extender (set theory)
id:
extender-set-theory-174-1961474
title:
Extender (set theory)
text:
In set theory, an extender is a system of ultrafilters which represents an elementary embedding witnessing large cardinal properties. A nonprincipal ultrafilter is the most basic case of an extender. A
-extender can be defined as an elementary embedding of some model M of ZFC− having critical point κ ∈ M, and which maps κ to an ordinal at least equal to λ. It can also be defined as a collection of ultrafilters, one for each n
-tuple drawn from λ.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Extender_(set_theory)
date created:
2009-08-19T21:13:34Z
date modified:
2024-09-02T16:52:50Z
main entity:
{"identifier":"Q5421908","url":"https://www.wikidata.org/entity/Q5421908"}
image:
fields total:
13
integrity:
14