Generalized amalgamation and n -simplicity

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 T e q or T h e q ; we provide several equivalent ways of formulating the notion of generalized amalgamation. We...

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Bibliographic Details
Published inAnnals of pure and applied logic Vol. 155; no. 2; pp. 97 - 114
Main Authors Kim, Byunghan, Kolesnikov, Alexei S., Tsuboi, Akito
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.09.2008
Subjects
[formula omitted]-simplicity
Generalized amalgamation
n -simplicity
Generalized amalgamation
K ( n ) -simplicity
03C45
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Summary: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 T e q or T h e q ; 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.
ISSN:0168-0072
DOI:10.1016/j.apal.2008.03.005