Abstract
We prove the “Main Gap” for the class ofa-models (sufficiently saturated models) of an arbitrary stable 1-based theoryT. We (i) prove a strong structure theorem fora-models, assuming NDOP, and (ii) roughly compute the number ofa-models ofT in any given cardinality.
The analysis uses heavily group existence theorems in 1-based theories.
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Authors partially supported by the NSERC, and by NSF grants DMS90-06628 and DMS92-03399
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Hart, B., Pillay, A. & Starchenko, S. 1-based theories — the main gap fora-models. Arch Math Logic 34, 285–300 (1995). https://doi.org/10.1007/BF01387509
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DOI: https://doi.org/10.1007/BF01387509