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arXiv · 1201.5799

Witnessing dp-rank

Itay Kaplan·Pierre Simon
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Abstract

We prove that in NTP_2 theories if p is a dependent type with dp-rank >= \kappa, then this can be witnessed by indiscernible sequences of tuples satisfying p. If p has dp-rank infinity, then this can be witnessed by singletons (in any theory).

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Itay Kaplan, Pierre Simon. 2012-01-27. Witnessing dp-rank. https://doi.org/10.1215/00294527-2688105

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