Notre Dame Journal of Formal Logic 55 (3):419-429 (2014)

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
Keywords NIP   dp-rank
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DOI 10.1215/00294527-2688105
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References found in this work BETA

Theories Without the Tree Property of the Second Kind.Artem Chernikov - 2014 - Annals of Pure and Applied Logic 165 (2):695-723.
On Dp-Minimal Ordered Structures.Pierre Simon - 2011 - Journal of Symbolic Logic 76 (2):448 - 460.
Forking and Dividing in NTP₂ Theories.Artem Chernikov & Itay Kaplan - 2012 - Journal of Symbolic Logic 77 (1):1-20.
On Dp-Minimality, Strong Dependence and Weight.Alf Onshuus & Alexander Usvyatsov - 2011 - Journal of Symbolic Logic 76 (3):737 - 758.
On Generically Stable Types in Dependent Theories.Alexander Usvyatsov - 2009 - Journal of Symbolic Logic 74 (1):216-250.

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Citations of this work BETA

Theories Without the Tree Property of the Second Kind.Artem Chernikov - 2014 - Annals of Pure and Applied Logic 165 (2):695-723.
Dp-Minimality: Invariant Types and Dp-Rank.Pierre Simon - 2014 - Journal of Symbolic Logic 79 (4):1025-1045.
Non-Forking and Preservation of NIP and Dp-Rank.Pedro Andrés Estevan & Itay Kaplan - 2021 - Annals of Pure and Applied Logic 172 (6):102946.
Exact Saturation in Simple and NIP Theories.Itay Kaplan, Saharon Shelah & Pierre Simon - 2017 - Journal of Mathematical Logic 17 (1):1750001.

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