Groups and fields with $\operatorname {NTP}_{2}$

DOI10.1090/S0002-9939-2014-12229-5zbMath1386.03036arXiv1212.6213WikidataQ114696074 ScholiaQ114696074MaRDI QIDQ5496263

Itay Kaplan, Pierre Simon, Artem Chernikov

Publication date: 30 January 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.6213

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45)

Related Items (20)

The valuation theory of deeply ramified fields and its connection with defect extensions ⋮ Valued fields with finitely many defect extensions of prime degree ⋮ Pseudo real closed fields, pseudo \(p\)-adically closed fields and \(\mathrm{NTP}_{2}\) ⋮ Forking and dividing in fields with several orderings and valuations ⋮ Distality in valued fields and related structures ⋮ Dp-finite fields. I(B): Positive characteristic ⋮ On \(\omega \)-categorical groups and rings of finite burden ⋮ Mekler's construction and generalized stability ⋮ Division rings with ranks ⋮ \(\mathrm{SOP}_1\), \(\mathrm{SOP}_2\), and antichain tree property ⋮ Profinite groups with NIP theory andp-adic analytic groups ⋮ Some remarks on inp-minimal and finite burden groups ⋮ Generalised stability of ultraproducts of finite residue rings ⋮ Model theory of finite and pseudofinite groups ⋮ Definability of types and VC density in differential topological fields ⋮ THE DP-RANK OF ABELIAN GROUPS ⋮ HENSELIAN VALUED FIELDS AND inp-MINIMALITY ⋮ Ordered asymptotic classes of finite structures ⋮ Onn-dependent groups and fields ⋮ On amalgamation in NTP\(_2\) theories and generically simple generics

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