1-based theories — the main gap for a -models
Archive for Mathematical Logic 34 (5) (1995)
| Abstract | We prove the Main Gap for the class of a -models (sufficiently saturated models) of an arbitrary stable 1-based theory T . We (i) prove a strong structure theorem for a -models, assuming NDOP, and (ii) roughly compute the number of a -models of T in any given cardinality. The analysis uses heavily group existence theorems in 1-based theories. | |||||||||
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