Sh:1003

• Baldwin, J. T., Larson, P. B., & Shelah, S. (2015). Almost Galois \omega-stable classes. J. Symb. Log., 80(3), 763–784. DOI: 10.1017/jsl.2015.19 MR: 3395349
• Abstract:
  Theorem. Suppose that an \aleph_0-presentable Abstract Elementary Class (AEC), \mathbf {K}, has the joint embedding and amalgamation properties in \aleph_0 and <2^{\aleph_1} models in \aleph_1. If \mathbf {K} has only countably many models in \aleph_1, then all are small. If, in addition, \mathbf{K} is almost Galois \omega-stable then \mathbf{K} is Galois \omega-stable.
• published version (22p)

@article{Sh:1003,
 author = {Baldwin, John T. and Larson, Paul B. and Shelah, Saharon},
 title = {{Almost Galois $\omega$-stable classes}},
 journal = {J. Symb. Log.},
 fjournal = {The Journal of Symbolic Logic},
 volume = {80},
 number = {3},
 year = {2015},
 pages = {763--784},
 issn = {0022-4812},
 mrnumber = {3395349},
 mrclass = {03C48 (03C45 03C75)},
 doi = {10.1017/jsl.2015.19}
}