English

The strong tree property and weak square

Logic 2016-11-08 v2

Abstract

We show that it is consistent, relative to ω\omega many supercompact cardinals, that the super tree property holds at n\aleph_n for all 2n<ω2 \leq n < \omega but there are weak square and a very good scale at ω\aleph_{\omega}.

Cite

@article{arxiv.1601.07824,
  title  = {The strong tree property and weak square},
  author = {Yair Hayut and Spencer Unger},
  journal= {arXiv preprint arXiv:1601.07824},
  year   = {2016}
}
R2 v1 2026-06-22T12:38:44.130Z