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May 2020 On Amalgamation in NTP2 Theories and Generically Simple Generics
Pierre Simon
Notre Dame J. Formal Logic 61(2): 233-243 (May 2020). DOI: 10.1215/00294527-2020-0003

Abstract

We prove a couple of results on NTP2 theories. First, we prove an amalgamation statement and deduce from it that the Lascar distance over extension bases is bounded by 2. This improves previous work of Ben Yaacov and Chernikov. We propose a line of investigation of NTP2 theories based on S1 ideals with amalgamation and ask some questions. We then define and study a class of groups with generically simple generics, generalizing NIP groups with generically stable generics.

Citation

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Pierre Simon. "On Amalgamation in NTP2 Theories and Generically Simple Generics." Notre Dame J. Formal Logic 61 (2) 233 - 243, May 2020. https://doi.org/10.1215/00294527-2020-0003

Information

Received: 24 August 2018; Accepted: 27 July 2019; Published: May 2020
First available in Project Euclid: 22 February 2020

zbMATH: 07222689
MathSciNet: MR4092533
Digital Object Identifier: 10.1215/00294527-2020-0003

Subjects:
Primary: 03C45
Secondary: 03C55, 03C95

Rights: Copyright © 2020 University of Notre Dame

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Vol.61 • No. 2 • May 2020
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