On the absoluteness of orbital $\omega$-stability
by Larson and Shelah. [LrSh:1073]
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.
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