论文标题
较弱的饱和特性和侧面条件
Weak saturation properties and side conditions
论文作者
论文摘要
为了将“紧凑性”和“大角”属性组合在$ω_2$中，我们研究了侧条件强迫的相关性。我们使用Neeman的强迫降低了弱Chang的猜想在$ω_2$的一致性强度上的上限。但是，我们发现这些方法适用于我们问题的障碍，并为Neeman关于迭代强迫的影响提供了反例。
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.
