Witnessing Dp-Rank

Itay Kaplan; Pierre Simon

doi:10.1215/00294527-2688105

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Home > Journals > Notre Dame J. Formal Logic > Volume 55 > Issue 3 > Article

2014 Witnessing Dp-Rank

Itay Kaplan, Pierre Simon

Notre Dame J. Formal Logic 55(3): 419-429 (2014). DOI: 10.1215/00294527-2688105

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Abstract

We prove that in $\operatorname {NTP}_{\operatorname {2}}$ theories the dp-rank of a type can be witnessed by indiscernible sequences of tuples satisfying that type. If the type has dp-rank infinity, then this can be witnessed by singletons (in any theory).