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arXiv · 1006.5526

Elimination of Hyperimaginaries and Stable Independence in simple CM-trivial theories

Daniel Palacin·Frank Olaf Wagner
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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 stable.

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Daniel Palacin, Frank Olaf Wagner. 2010-06-29. Elimination of Hyperimaginaries and Stable Independence in simple CM-trivial theories. https://doi.org/10.1215/00294527-2143970

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