Author:
HAYUT YAIR,MAGIDOR MENACHEM
Abstract
AbstractWe construct a model in which the tree property holds in ${\aleph _{\omega + 1}}$ and it is destructible under $Col\left( {\omega ,{\omega _1}} \right)$. On the other hand we discuss some cases in which the tree property is indestructible under small or closed forcings.
Publisher
Cambridge University Press (CUP)
Cited by
3 articles.
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1. Indestructibility of some compactness principles over models of PFA;Annals of Pure and Applied Logic;2024-01
2. On the ideal J[κ];Annals of Pure and Applied Logic;2022-02
3. INDESTRUCTIBILITY OF THE TREE PROPERTY;The Journal of Symbolic Logic;2019-09-16