Recovering the hyperdefinable group action in the group configuration theorem
Byunghan Kim
Source: J. Symbolic Logic Volume 75, Issue 1
(2010), 12-24.
Abstract
In this paper, we continue the construction done in [3], so that under model-4-CA or 4-CA, given a bounded quadrangle C induced from a group configuration, we build a canonical hyperdefinable homogeneous space equivalent to C. When C is principal, we can choose the homogeneous space principal as well.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jsl/1264433907
Digital Object Identifier: doi:10.2178/jsl/1264433907
Zentralblatt MATH identifier: 05681290
Mathematical Reviews number (MathSciNet): MR2605880
References
B. Kim and A. Pillay, From stability to simplicity, Bulletin of Symbolic Logic, vol. 4 (1998), pp. 17--36.
Mathematical Reviews (MathSciNet): MR1609191
Zentralblatt MATH: 0897.03034
Digital Object Identifier: doi:10.2307/421004
JSTOR: links.jstor.org
A. Pillay, Geometric Stability Theory, Oxford University Press, Oxford, 1996.
Mathematical Reviews (MathSciNet): MR1429864
Zentralblatt MATH: 0871.03023
T. de Piro, B. Kim, and J. Millar, Constructing the hyperdefinable group from the group configuration, Journal of Mathematical Logic, vol. 6 (2006), pp. 121--139.
Mathematical Reviews (MathSciNet): MR2317423
Zentralblatt MATH: 1165.03333
Digital Object Identifier: doi:10.1142/S0219061306000530
I. Tomasic and F. O. Wagner, Applications of the group configuration theorem in simple theories, Journal of Mathematical Logic, vol. 3 (2003), pp. 239--255.
Mathematical Reviews (MathSciNet): MR2030086
Zentralblatt MATH: 1043.03030
Digital Object Identifier: doi:10.1142/S0219061303000261
F. O. Wagner, Simple Theories, Kluwer Academic Publishers, Dordrecht, 2000.
Mathematical Reviews (MathSciNet): MR1747713
