Constructing an almost hyperdefinable group

Journal of Mathematical Logic 4 (02):181-212 (2004)
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Abstract

This paper completes the proof of the group configuration theorem for simple theories started in [1]. We introduce the notion of an almost hyperdefinable structure, and show that it has a reasonable model theory. We then construct an almost hyperdefinable group from a polygroup chunk.

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Citations of this work

Un critère simple.Thomas Blossier & Amador Martin-Pizarro - 2019 - Notre Dame Journal of Formal Logic 60 (4):639-663.
Compactness and independence in non first order frameworks.Itay Ben-Yaacov - 2005 - Bulletin of Symbolic Logic 11 (1):28-50.
On pseudolinearity and generic pairs.Evgueni Vassiliev - 2010 - Mathematical Logic Quarterly 56 (1):35-41.
Simple almost hyperdefinable groups.Itaï Ben-Yaacov - 2006 - Journal of Mathematical Logic 6 (01):69-88.

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References found in this work

Simplicity in compact abstract theories.Itay Ben-Yaacov - 2003 - Journal of Mathematical Logic 3 (02):163-191.
Hyperdefinable groups in simple theories.Frank Wagner - 2001 - Journal of Mathematical Logic 1 (01):125-172.
Definability and definable groups in simple theories.Anand Pillay - 1998 - Journal of Symbolic Logic 63 (3):788-796.
On the fine structure of the polygroup blow-up.Itay Ben-Yaacov - 2003 - Archive for Mathematical Logic 42 (7):649-663.

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