# 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}
}
• 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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