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Preprint Number 1640
1640. Roland Walker
Submission date: 29 August 2019
We develop distality rank as a property of first-order theories and give examples for each rank m such that 1 ≤ m ≤ ω. For NIP theories, we show that distality rank is invariant under base change. We also define a generalization of type orthogonality called m-determinacy and show that theories of distality rank m require certain products to be m-determined. Furthermore, for NIP theories, this behavior characterizes distality rank m.
Mathematics Subject Classification: 03C45 (Primary) 03C50 (Secondary)
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