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arXiv · 2209.12258

Unthreadability with Small Conditions

Maxwell Levine
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Abstract

We introduce a forcing that adds a $\square(\aleph_2,\aleph_0)$-sequence with countable conditions under CH. Assuming the consistency of a weakly compact cardinal, we can find a forcing extension by our new poset in which both $\square(\aleph_2,<\!\aleph_0)$ and $\square_{\aleph_1,\aleph_0}$ fail in the forcing extension.

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Maxwell Levine. 2022-09-25. Unthreadability with Small Conditions. https://arxiv.org/abs/2209.12258

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