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  1. Definable -Theorem for Families with Vc-Codensity Less Than.Pablo Andújar Guerrero - forthcoming - Journal of Symbolic Logic:1-10.
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  • Distality Rank.Roland Walker - 2023 - Journal of Symbolic Logic 88 (2):704-737.
    Building on Pierre Simon’s notion of distality, we introduce distality rank as a property of first-order theories and give examples for each rankmsuch that$1\leq m \leq \omega $. For NIP theories, we show that distality rank is invariant under base change. We also define a generalization of type orthogonality calledm-determinacy and show that theories of distality rankmrequire certain products to bem-determined. Furthermore, for NIP theories, this behavior characterizesm-distality. If we narrow the scope to stable theories, we observe thatm-distality can be (...)
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