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The additive collapse
Journal of Mathematical Logic 9 (2):241-284 (2009)
Abstract
Summary. From known examples of theories T obtained by Hrushovski-constructions and of infinite Morley rank, properties are extracted, that allow the collapse to a finite rank substructure. The results are used to give a more model-theoretic proof of the existence of the new uncountably categorical groups in [3].Links
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References found in this work
A new strongly minimal set.Ehud Hrushovski - 1993 - Annals of Pure and Applied Logic 62 (2):147-166.
Constructing ω-stable structures: Rank 2 fields.John T. Baldwin & Kitty Holland - 2000 - Journal of Symbolic Logic 65 (1):371-391.
Fusion over a vector space.Andreas Baudisch, Amador Martin-Pizarro & Martin Ziegler - 2006 - Journal of Mathematical Logic 6 (2):141-162.
Red Fields.A. Baudisch, A. Martin-Pizarro & M. Ziegler - 2007 - Journal of Symbolic Logic 72 (1):207 - 225.
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