# 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)

Bib entry

@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}, doi = {10.1017/jsl.2015.19}, mrclass = {03C48 (03C45 03C75)}, mrnumber = {3395349}, mrreviewer = {Monica M. VanDieren}, doi = {10.1017/jsl.2015.19} }