Sacks property

id: sacks-property-251-5486113
title: Sacks property
text: In mathematical set theory, the Sacks property holds between two models of Zermelo–Fraenkel set theory if they are not "too dissimilar" in the following sense. For M and N transitive models of set theory, N is said to have the Sacks property over M if and only if for every function g ∈ M mapping ω to ω ∖ { 0 } such that g diverges to infinity, and every function f ∈ N mapping ω to ω there is a tree T ∈ M such that for every n the n t h level of T has cardinality at most g and f is a branch of T
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Sacks_property
date created:
date modified: 2018-05-23T05:45:27Z
main entity: {"identifier":"Q25303736","url":"https://www.wikidata.org/entity/Q25303736"}
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fields total: 13
integrity: 13

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