Sh:1073

• Larson, P. B., & Shelah, S. On the absoluteness of orbital \omega-stability. Preprint.
• Abstract:
  We show that orbital \omega-stability is upwards absolute (but not downwards absolute) for \aleph_0-presented Abstract Elementary Classes satisfying amalgamation and the joint embedding property (each for countable models). We also show that amalgamation does not imply upwards absoluteness of orbital \omega-stability by itself. The corresponding question for the joint embedding property remains open.
• Version 2019-03-27_11 (6p)

@article{Sh:1073,
 author = {Larson, Paul B. and Shelah, Saharon},
 title = {{On the absoluteness of orbital $\omega$-stability}}
}