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La fusion libre : le cas simple

Part of: Model theory

Published online by Cambridge University Press:  07 October 2008

Martin Hils
Martin Hils
Affiliation:
Institut für Mathematik, Humboldt-Universität zu Berlin, 10099 Berlin, Germany (hils@math.hu-berlin.de)
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Abstract

We construct the free fusion of two geometric thories over a common ω-categorical strongly minimal reduct. If the two theories are supersimple of rank 1 (and satisfy an additional hypothesis true in particular for stable theories or trivial reduct), the completions of the free fusion are supersimple of rank at most ω.

Keywords

model theoryfusionsimple theories

MSC classification

Secondary: 03C45: Classification theory, stability and related concepts 03C35: Categoricity and completeness of theories 03C60: Model-theoretic algebra
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 7 , Issue 4 , October 2008 , pp. 825 - 868
Copyright
Copyright © Cambridge University Press 2008

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