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Elimination of Hyperimaginaries and Stable Independence in Simple CM-Trivial Theories
Notre Dame Journal of Formal Logic 54 (3-4):541-551 (2013)
Abstract
In a simple CM-trivial theory every hyperimaginary is interbounded with a sequence of finitary hyperimaginaries. Moreover, such a theory eliminates hyperimaginaries whenever it eliminates finitary hyperimaginaries. In a supersimple CM-trivial theory, the independence relation is stableLinks
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Citations of this work
Stable Forking and Imaginaries.Enrique Casanovas & Joris Potier - 2018 - Notre Dame Journal of Formal Logic 59 (4):497-502.
On omega-categorical simple theories.Daniel Palacín - 2012 - Archive for Mathematical Logic 51 (7-8):709-717.
References found in this work
Coordinatisation and canonical bases in simple theories.Bradd Hart, Byunghan Kim & Anand Pillay - 2000 - Journal of Symbolic Logic 65 (1):293-309.
Hyperimaginaries and Automorphism Groups.D. Lascar & A. Pillay - 2001 - Journal of Symbolic Logic 66 (1):127-143.
A note on Lascar strong types in simple theories.Byunghan Kim - 1998 - Journal of Symbolic Logic 63 (3):926-936.
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