Sh:E34

• Shelah, S. On model completion of T_{\mathrm{aut}}. Preprint. arXiv: math/0404180
• Abstract:
  We characterize stable T for which the model completion of T_\sigma=T_{\rm aut} is stable (i.e., every completion is). Then we prove that “some completion is stable” is different and characterize it. We also prove that any such model completion satisfies NSOP_3. Finally we show that there is an unstable (complete first order) T with T_{\rm aut} having model completion.
• Version 2003-07-22_10 (18p)

@unpublished{Sh:E34,
 author = {Shelah, Saharon},
 title = {{On model completion of $T_{\mathrm{aut}}$}},
 note = {\href{https://arxiv.org/abs/math/0404180}{arXiv: math/0404180}},
 arxiv_number = {math/0404180}
}