Flat Morley sequences
Journal of Symbolic Logic 64 (3):1261-1279 (1999)
| Abstract | Assume T is a small superstable theory. We introduce the notion of a flat Morley sequence, which is a counterpart of the notion of an infinite Morley sequence in a type p, in case when p is a complete type over a finite set of parameters. We show that for any flat Morley sequence Q there is a model M of T which is τ-atomic over {Q}. When additionally T has few countable models and is 1-based, we prove that within M there is an infinite Morley sequence I, with I $\subset$ dcl(Q), such that M is prime over I | |||||||||
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