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}
}