Destructibility of the tree property at aleph_(ω+1)
classification
🧮 math.LO
keywords
omegapropertytreealephundercasesclosedconstruct
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We construct a model in which the tree property holds in $\aleph_{\omega + 1}$ and it is destructible under $\text{Col}(\omega, \omega_1)$. On the other hand we discuss some cases in which the tree property is indestructible under small or closed forcings.
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