Journal of Symbolic Logic

Recovering the hyperdefinable group action in the group configuration theorem

Byunghan Kim

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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.

Article information

Source
J. Symbolic Logic, Volume 75, Issue 1 (2010), 12-24.

Dates
First available in Project Euclid: 25 January 2010

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1264433907

Digital Object Identifier
doi:10.2178/jsl/1264433907

Mathematical Reviews number (MathSciNet)
MR2605880

Zentralblatt MATH identifier
1184.03022

Citation

Kim, Byunghan. Recovering the hyperdefinable group action in the group configuration theorem. J. Symbolic Logic 75 (2010), no. 1, 12--24. doi:10.2178/jsl/1264433907. https://projecteuclid.org/euclid.jsl/1264433907


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