Additivity of the Dp-rank

Itay Kaplan; Alf Onshuus; Alexander Usvyatsov

doi:10.1090/S0002-9947-2013-05782-0

Additivity of the Dp-rank

Itay Kaplan
, Alf Onshuus
, Alexander Usvyatsov

Research output: Contribution to journal › Article › peer-review

31 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 language	English
Pages (from-to)	5783-5804
Number of pages	22
Journal	Transactions of the American Mathematical Society
Volume	365
Issue number	11
DOIs	https://doi.org/10.1090/S0002-9947-2013-05782-0
State	Published - 2013
Externally published	Yes

Keywords

Dp-minimality
Dp-rank
VC-density

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10.1090/S0002-9947-2013-05782-0

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title = "Additivity of the Dp-rank",

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.",

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KW - Dp-minimality

KW - Dp-rank

KW - VC-density

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Additivity of the Dp-rank

Abstract

Keywords

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