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

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

2010-06-29

arxiv.org/abs/1006.5526v5

Mathematics

Logic

Scientific paper

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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