The strong tree property and weak square

@article{Hayut2017TheST,
  title={The strong tree property and weak square},
  author={Yair Hayut and Spencer Unger},
  journal={Math. Log. Q.},
  year={2017},
  volume={63},
  pages={150-154}
}
  • Yair Hayut, Spencer Unger
  • Published 2017
  • Mathematics, Computer Science
  • Math. Log. Q.
  • We show that it is consistent, relative to $\omega$ many supercompact cardinals, that the super tree property holds at $\aleph_n$ for all $2 \leq n < \omega$ but there are weak square and a very good scale at $\aleph_{\omega}$. 

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