论文标题
高维三角洲系统
Higher-dimensional Delta-systems
论文作者
论文摘要
我们研究了有限的序列集，隔离其特定定义，并证明了经典$δ$Δ$系统引理的较高维度。我们特别关注由一组序数组成的系统，在这种情况下，可以确保有用的顺序理论均匀性。然后，我们将这些高维$δ$系统的三个应用介绍给涉及实时强迫和分区关系之间的相互作用的问题。
We investigate higher-dimensional $Δ$-systems indexed by finite sets of ordinals, isolating a particular definition thereof and proving a higher-dimensional version of the classical $Δ$-system lemma. We focus in particular on systems that consist of sets of ordinals, in which case useful order-theoretic uniformities can be ensured. We then present three applications of these higher-dimensional $Δ$-systems to problems involving the interplay between forcing and partition relations on the reals.
