Constructing an almost hyperdefinable group

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

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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DOI 10.1142/S021906130400036X
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References found in this work BETA

Simplicity in Compact Abstract Theories.Itay Ben-Yaacov - 2003 - Journal of Mathematical Logic 3 (02):163-191.
On the Fine Structure of the Polygroup Blow-Up.Itay Ben-Yaacov - 2003 - Archive for Mathematical Logic 42 (7):649-663.
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.

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Citations of this work BETA

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.
Plus Ultra.Frank O. Wagner - 2015 - Journal of Mathematical Logic 15 (2):1550008.
Simple Almost Hyperdefinable Groups.Itaï Ben-Yaacov - 2006 - Journal of Mathematical Logic 6 (01):69-88.

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