# 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)

Bib entry

@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} }