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arXiv · 1603.05526

Destructibility of the tree property at $\aleph_{ω+1}$

Yair Hayut·Menachem Magidor
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Abstract

We construct a model in which the tree property holds in $\aleph_{ω+ 1}$ and it is destructible under $\text{Col}(ω, ω_1)$. On the other hand we discuss some cases in which the tree property is indestructible under small or closed forcings.

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Yair Hayut, Menachem Magidor. 2019-04-29. Destructibility of the tree property at $\aleph_{ω+1}$. https://arxiv.org/abs/1603.05526

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