Additivity of the dp-rank

Itay Kaplan; Alf Onshuus; Alexander Usvyatsov

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arXiv · 1109.1601

Additivity of the dp-rank

Itay Kaplan·Alf Onshuus·Alexander Usvyatsov

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Abstract

The main result of this article is sub-additivity of the dp-rank. We also show that the study of theories of finite dp-rank can not be reduced to the study of its dp-minimal types, and discuss the possible relations between dp-rank and VC-density.

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Itay Kaplan, Alf Onshuus, Alexander Usvyatsov. 2011-09-07. Additivity of the dp-rank. https://arxiv.org/abs/1109.1601

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