论文标题
严格的$ \ text {nsop} _3 $理论
A Strictly $ \text{NSOP}_3 $ Theory
论文作者
论文摘要
我们使用理论$ \ mathbb {t}_μ$定义了$ $ $均匀符合的结构的新概念,它是严格的$ \ text {nsop} _3 _3 $理论的第一个示例。这回答了[DS04]中提出的一个问题,并在[SU08]和[MS16]中重新出现。这种理论的存在提供了对没有严格秩序属性的不稳定理论层次结构的更好理解。
We define the new notion of a $ μ$-uniformly-counter-collapsed structure using which we introduce a theory $ \mathbb{T}_μ$ serving as the first example of a strictly $ \text{NSOP}_3 $ theory. This answers a question posed in [DS04] and reappeared in [SU08] and [MS16]. The existence of such a theory provides a better understanding of the hierarchy of unstable theories without the strict order property.