Submission date: 8 November 2020

Abstract:

We define the new notion of a μ-uniformly-counter-collapsed structure using which we introduce a theory T_μ serving as the first example of a strictly 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.

Mathematics Subject Classification:

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Full text arXiv 2011.04034: pdf, ps.