Sh:394

• Shelah, S. (1999). Categoricity for abstract classes with amalgamation. Ann. Pure Appl. Logic, 98(1-3), 261–294. arXiv: math/9809197 DOI: 10.1016/S0168-0072(98)00016-5 MR: 1696853
• Abstract:
  Let {\mathfrak K} be an abstract elementary class with amalgamation, and Lowenheim Skolem number LS({\mathfrak K}). We prove that for a suitable Hanf number \chi_0 if \chi_0 < \lambda_0\le \lambda_1, and {\mathfrak K} is categorical in \lambda^+_1 then it is categorical in \lambda_0.
• Version 2004-10-29_10 (81p) published version (34p)

@article{Sh:394,
 author = {Shelah, Saharon},
 title = {{Categoricity for abstract classes with amalgamation}},
 journal = {Ann. Pure Appl. Logic},
 fjournal = {Annals of Pure and Applied Logic},
 volume = {98},
 number = {1-3},
 year = {1999},
 pages = {261--294},
 issn = {0168-0072},
 mrnumber = {1696853},
 mrclass = {03C45 (03C75)},
 doi = {10.1016/S0168-0072(98)00016-5},
 note = {\href{https://arxiv.org/abs/math/9809197}{arXiv: math/9809197}},
 arxiv_number = {math/9809197}
}