ADDITIVITY OF THE DP-RANK

被引：29

作者：

Kaplan, Itay ^{[1
]}

Onshuus, Alf ^{[2
]}

Usvyatsov, Alexander ^{[3
]}

机构：

[1] Univ Munster, Math Inst, D-48149 Munster, Germany

[2] Univ Los Andes, Dept Matemat, Bogota 111711, Colombia

[3] Univ Lisbon, Ctr Matemat & Aplicacoes Fundamentais, P-1649003 Lisbon, Portugal

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 365卷 / 11期

关键词：

Dp-rank; dp-minimality; VC-density;

D O I：

10.1090/S0002-9947-2013-05782-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：5783 / 5804

页数：22

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