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1 results

DESTRUCTIBILITY OF THE TREE PROPERTY AT ${\aleph _{\omega + 1}}$
YAIR HAYUT, MENACHEM MAGIDOR
Journal:

The Journal of Symbolic Logic / Volume 84 / Issue 2 / June 2019

Published online by Cambridge University Press:

06 March 2019, pp. 621-631

Print publication:

June 2019
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We 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.