弱饱和特性和侧面条件

IF 0.6 2区数学 Q2 LOGIC Annals of Pure and Applied Logic Pub Date : 2023-09-06 DOI:10.1016/j.apal.2023.103356

Monroe Eskew

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引用次数: 0

摘要

为了结合ω2的“紧性”和“巨大性”性质，我们研究了侧条件强迫的相关性。我们利用尼曼力降低了弱张氏猜想在ω2处的一致性强度的上界。另一方面，我们发现了将这些方法应用于我们的问题的一个障碍，并给出了尼曼关于迭代这种强迫的影响的主张的反例。

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Weak saturation properties and side conditions

Towards combining “compactness” and “hugeness” properties at $ω_{2}$ , we investigate the relevance of side-conditions forcing. We reduce the upper bound on the consistency strength of the weak Chang's Conjecture at $ω_{2}$ using Neeman's forcing. On the other hand, we find a barrier to the applicability of these methods to our problem and give a counterexample to a claim of Neeman about the effects of iterating such forcing.

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来源期刊

Annals of Pure and Applied Logic 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

200 days

期刊介绍： The journal Annals of Pure and Applied Logic publishes high quality papers in all areas of mathematical logic as well as applications of logic in mathematics, in theoretical computer science and in other related disciplines. All submissions to the journal should be mathematically correct, well written (preferably in English)and contain relevant new results that are of significant interest to a substantial number of logicians. The journal also considers submissions that are somewhat too long to be published by other journals while being too short to form a separate memoir provided that they are of particular outstanding quality and broad interest. In addition, Annals of Pure and Applied Logic occasionally publishes special issues of selected papers from well-chosen conferences in pure and applied logic.

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