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The Tree Property up to $\aleph_{\omega^2}$

Logic 2020-02-06 v5

Abstract

Starting from a stationary set of supercompact cardinals we find a generic extension in which the tree property holds at every regular cardinal between 2\aleph_2 and ω2\aleph_{\omega^2}.

Keywords

Cite

@article{arxiv.1605.06271,
  title  = {The Tree Property up to $\aleph_{\omega^2}$},
  author = {Yair Hayut},
  journal= {arXiv preprint arXiv:1605.06271},
  year   = {2020}
}

Comments

The argument is flawed. In particular, the proof of Lemma 31 is wrong

R2 v1 2026-06-22T14:05:28.099Z