Abstract
AbstractAssume 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 ⊂ dcl(Q), such that M is prime over I.
Publisher
Cambridge University Press (CUP)
Reference14 articles.
1. A proof of Saffe'S conjecture;Newelski;Fundamenta Mathematicae,1990
2. Vaught's conjecture for some meager groups;Newelski;Israel Journal of Mathematics
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Generalizations of small profinite structures;The Journal of Symbolic Logic;2010-12
2. Relative Vaught's Conjecture for Some Meager Groups;Notre Dame Journal of Formal Logic;2007-01-01
3. m-normal theories;Fundamenta Mathematicae;2001