Generalized amalgamation and n -simplicity

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Annals of Pure and Applied Logic 155 (2):97-114 (2008)
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Abstract

We study generalized amalgamation properties in simple theories. We formulate a notion of generalized amalgamation in such a way so that the properties are preserved when we pass from T to Teq or Theq; we provide several equivalent ways of formulating the notion of generalized amalgamation.We define two distinct hierarchies of simple theories characterized by their amalgamation properties; examples are given to show the difference between the hierarchies

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10.1016/j.apal.2008.03.005

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Citations of this work

Disjoint $n$ -Amalgamation and Pseudofinite Countably Categorical Theories.Alex Kruckman - 2019 - Notre Dame Journal of Formal Logic 60 (1):139-160.
Supersimple ω-categorical theories and pregeometries.Vera Koponen - 2019 - Annals of Pure and Applied Logic 170 (12):102718.

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References found in this work

Simple theories.Byunghan Kim & Anand Pillay - 1997 - Annals of Pure and Applied Logic 88 (2-3):149-164.
Simplicity, and stability in there.Byunghan Kim - 2001 - Journal of Symbolic Logic 66 (2):822-836.
n-Simple theories.Alexei S. Kolesnikov - 2005 - Annals of Pure and Applied Logic 131 (1-3):227-261.
Very simple theories without forking.Ludomir Newelski - 2003 - Archive for Mathematical Logic 42 (6):601-616.

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