English

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

Logic 2019-04-30 v3

Abstract

We construct a model in which the tree property holds in ω+1\aleph_{\omega + 1} and it is destructible under Col(ω,ω1)\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.

Keywords

Cite

@article{arxiv.1603.05526,
  title  = {Destructibility of the tree property at $\aleph_{\omega+1}$},
  author = {Yair Hayut and Menachem Magidor},
  journal= {arXiv preprint arXiv:1603.05526},
  year   = {2019}
}