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arXiv · 2402.04706

Anatomy of $\tilde{\mathbb{E}}$

Diego A. Mejía
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Abstract

We present a detailed general framework to describe the forcing $\tilde{\mathbb{E}}$, defined by Kellner, Shelah and Tan\u{a}sie to prove the consistency with ZFC of an alternative order of Cicho\'n's maximum. Our presentation is close to the framework of tree-creature forcing notions from Horowitz and Shelah. We show that the posets in this class have strong FAM limits for intervals (in recent terminology, they are $\sigma$-FAM-linked) and, furthermore, that they also have strong ultrafilter limits for intervals.

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Diego A. Mejía. 2024-02-07. Anatomy of $\tilde{\mathbb{E}}$. https://arxiv.org/abs/2402.04706

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