Sh:1192

• Kaplan, I., Ramsey, N., & Shelah, S. (2021). Criteria for exact saturation and singular compactness. Ann. Pure Appl. Logic, 172(9), Paper No. 102992, 28. arXiv: 2003.00597 DOI: 10.1016/j.apal.2021.102992 MR: 4264145
• Abstract:
  We introduce the class of unshreddable theories, which contains the simple and NIP theories, and prove that such theories have exactly saturated models in singular cardinals, satisfying certain set-theoretic hypotheses. We also give criteria for a theory to have singular compactness.
• Version 2020-02-27 (27p) published version (28p)

@article{Sh:1192,
 author = {Kaplan, Itay and Ramsey, Nicholas and Shelah, Saharon},
 title = {{Criteria for exact saturation and singular compactness}},
 journal = {Ann. Pure Appl. Logic},
 fjournal = {Annals of Pure and Applied Logic},
 volume = {172},
 number = {9},
 year = {2021},
 pages = {Paper No. 102992, 28},
 issn = {0168-0072},
 mrnumber = {4264145},
 mrclass = {03C45 (03C30 03C50 03C55)},
 doi = {10.1016/j.apal.2021.102992},
 note = {\href{https://arxiv.org/abs/2003.00597}{arXiv: 2003.00597}},
 arxiv_number = {2003.00597}
}