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arXiv · 1601.07824

The strong tree property and weak square

Yair Hayut·Spencer Unger
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Abstract

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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Yair Hayut, Spencer Unger. 2016-01-28. The strong tree property and weak square. https://arxiv.org/abs/1601.07824

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