Sh:1074

• Kaplan, I., Shelah, S., & Simon, P. (2017). Exact saturation in simple and NIP theories. J. Math. Log., 17(1), 1750001, 18. arXiv: 1510.02741 DOI: 10.1142/S0219061317500015 MR: 3651210
• Abstract:
  A theory T is said to have exact saturation at a singular cardinal \kappa if it has a \kappa-saturated model which is not \kappa^+-saturated. We show, under some set-theoretic assumptions, that any simple theory has exact saturation. Also, an NIP theory has exact saturation if and only if it is not distal. This gives a new characterization of distality.
• published version (18p)

@article{Sh:1074,
 author = {Kaplan, Itay and Shelah, Saharon and Simon, Pierre},
 title = {{Exact saturation in simple and NIP theories}},
 journal = {J. Math. Log.},
 fjournal = {Journal of Mathematical Logic},
 volume = {17},
 number = {1},
 year = {2017},
 pages = {1750001, 18},
 issn = {0219-0613},
 mrnumber = {3651210},
 mrclass = {03C45 (03C55 03C95)},
 doi = {10.1142/S0219061317500015},
 note = {\href{https://arxiv.org/abs/1510.02741}{arXiv: 1510.02741}},
 arxiv_number = {1510.02741}
}