Sh:1074

• Kaplan, I., Shelah, S., & Simon, P. (2017). Exact saturation in simple and NIP theories. J. Math. Log., 17(1), 1750001, 18.
• 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}
}