Group configurations and germs in simple theories

Author:

Ben-Yaacov Itay

Abstract

AbstractWe develop the theory of germs of generic functions in simple theories. Starting with an algebraic quadrangle (or other similar hypotheses), we obtain an “almost” generic group chunk, where the product is defined up to a bounded number of possible values. This is the first step towards the proof of the group configuration theorem for simple theories, which is completed in [3].

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference13 articles.

1. Ben-Yaacov Itay , Tomašić Ivan , and Wagner Frank O. , Constructing an almost-hyperdefinable group, Preprint, 2001.

2. Ben-Yaacov Itay , Positive model theory and compact abstract theories, Preprint, 2002.

3. Ben-Yaacov Itay and Wagner Frank O. , Almost orthogonality in simple theories, Preprint, 2001.

4. Supersimple theories

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1. Graphons arising from graphs definable over finite fields;Colloquium Mathematicum;2022

2. Compactness and Independence in Non First Order Frameworks;Bulletin of Symbolic Logic;2005-03

3. CONSTRUCTING AN ALMOST HYPERDEFINABLE GROUP;Journal of Mathematical Logic;2004-12

4. On almost orthogonality in simple theories;Journal of Symbolic Logic;2004-06

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