DP-MINIMALITY: INVARIANT TYPES AND DP-RANK

DOI10.1017/jsl.2014.46zbMath1353.03036arXiv1210.4479OpenAlexW3102566949MaRDI QIDQ5177874

Pierre Simon

Publication date: 6 March 2015

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.4479

zbMATH Keywords

NIPdp-rankdp-minimality

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Model theory of ordered structures; o-minimality (03C64) Other classical first-order model theory (03C68)

Related Items (11)

The canonical topology on dp-minimal fields ⋮ Non-forking and preservation of NIP and dp-rank ⋮ Dp-finite fields. I(A): The infinitesimals ⋮ Interpretable fields in various valued fields ⋮ Mini-workshop: Topological and differential expansions of o-minimal structures. Abstracts from the mini-workshop held November 27 -- December 3, 2022 ⋮ Topologizing interpretable groups in \(p\)-adically closed fields ⋮ ON GROUPS WITH DEFINABLE F-GENERICS DEFINABLE IN P-ADICALLY CLOSED FIELDS ⋮ A definable \((p,q)\)-theorem for NIP theories ⋮ Some Remarks on dp-Minimal Groups ⋮ THE DEFINABLE (P, Q)-THEOREM FOR DISTAL THEORIES ⋮ DP-MINIMAL VALUED FIELDS

Cites Work

• Bounded VC-dimension implies a fractional Helly theorem
• Distal and non-distal NIP theories
• Additivity of the dp-rank

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