Additivity of the dp-rank-Reference-Cited by-同舟云学术

Additivity of the dp-rank

Published:2013-07-01 Issue:11 Volume:365 Page:5783-5804
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Kaplan Itay,Onshuus Alf,Usvyatsov Alexander

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2013-365-11/S0002-9947-2013-05782-0/S0002-9947-2013-05782-0.pdf

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3. Vincent Guingona and Cameron Donnay Hill, Local dp-rank and vc-density over indiscernible sequences, arXiv:1108.2554 (2011).

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5. Itay Kaplan and Pierre Simon, Unpublished notes (2011).

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