弱饱和性质和边条件
Weak saturation properties and side conditions
摘要：
为了在$ω_2$中结合“紧凑”和“巨大”特性，我们研究了侧条件强迫的相关性。利用Neeman强迫，降低了弱Chang猜想在$ω_2$上的一致性强度的上界.但是，我们发现一个障碍，这些方法对我们的问题的适用性，并给出一个反例的索赔尼曼迭代这种强迫的影响。
英文摘要：
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. But 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
