Additivity of the Dp-rank

Itay Kaplan, Alf Onshuus, Alexander Usvyatsov

Research output: Contribution to journalArticlepeer-review

28 Scopus citations

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 cannot be reduced to the study of its dp-minimal types, and we discuss the possible relations between dp-rank and VC-density.

Original languageAmerican English
Pages (from-to)5783-5804
Number of pages22
JournalTransactions of the American Mathematical Society
Volume365
Issue number11
DOIs
StatePublished - 2013
Externally publishedYes

Keywords

  • Dp-minimality
  • Dp-rank
  • VC-density

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