On model completion of T_{aut}

Saharon Shelah

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arXiv · math/0404180

On model completion of T_{aut}

Saharon Shelah

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Abstract

We characterize stable T for which the model completion of T_{aut} is stable (i.e., every completion is). Then we prove that ``some completion is stable'' is different and we characterize it. Finally we show that if T is stable, T_{aut} has a model completion, T_* is an unstable complete of T^{mc}_{aut}, then T_* satisfies NSOP_3. Moreover, simplicity is preserved.

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Saharon Shelah. 2004-04-08. On model completion of T_{aut}. https://arxiv.org/abs/math/0404180

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