Elimination of Hyperimaginaries and Stable Independence in simple CM-trivial theories
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🧮 math.LO
keywords
hyperimaginariescm-trivialtheoryeliminatesfinitaryindependencesimplestable
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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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