Forcing axioms for λ-complete μ + $\mu ^+$ -c.c.

Pub Date : 2022-02-03 DOI:10.1002/malq.201900020

Saharon Shelah

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Abstract

We consider forcing axioms for suitable families of μ-complete $μ^{+}$ -c.c. forcing notions. We show that some form of the condition “ $p_{1}, p_{2}$ have a $\leq_{Q} - lub$ in $Q$ ” is necessary. We also show some versions are really stronger than others.

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λ完备μ +$ \mu ^+$ -c的强迫公理。

我们考虑了μ-完备μ + $\mu ^+$ -c.c.强迫概念的合适族的强迫公理。我们证明了某种形式的条件p 1，p2 $p_1,p_2$有一个≤Q - lub $\le _{{\mathbb {Q}}}\text{-}{\rm lub}$在Q ${\mathbb {Q}}$”是必要的。我们还展示了一些版本确实比其他版本更强大。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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