Additivity of the dp-rank

2011/09/07 by Itay Kaplan, Kaplan, Itay, Alf Onshuus +3 · 3 citations
Decision Sciences · Mathematics · #Advanced Topology and Set Theory #Combinatorics (math.CO) #FOS: Mathematics #Fuzzy and Soft Set Theory #Logic (math.LO) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1109.1601

openalex publication_date 2011/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• On VC-density over indiscernible sequences
• Strongly dependent theories

Cited by

• Consequences of Dependent Dividing on Burden
• Dimension theory for the asymptotic couple of the field of logarithmic transseries
• On VC-minimal theories and variants

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