Annals of Pure and Applied Logic 70 (2):141-175 (1994)
| Abstract |
T is stable. We define the notion of meager regular type and prove that a meager regular type is locally modular. Assuming I < 2o and G is a definable abelian group with locally modular regular generics, we prove a counterpart of Saffe's conjecture. Using these results, for superstable T we prove the conjecture of vanishing multiplicities. Also, as a further application, in some additional cases we prove a conjecture regarding topological stability of pseudo-types over Q
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| DOI | 10.1016/0168-0072(94)90028-0 |
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References found in this work BETA
Unidimensional Theories Are Superstable.Ehud Hrushovski - 1990 - Annals of Pure and Applied Logic 50 (2):117-137.
The Geometry of Weakly Minimal Types.Steven Buechler - 1985 - Journal of Symbolic Logic 50 (4):1044-1053.
Kueker's Conjecture for Stable Theories.Ehud Hrushovski - 1989 - Journal of Symbolic Logic 54 (1):207-220.
Uncountable Theories That Are Categorical in a Higher Power.Michael Chris Laskowski - 1988 - Journal of Symbolic Logic 53 (2):512-530.
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Citations of this work BETA
Theories with Constants and Three Countable Models.Predrag Tanović - 2007 - Archive for Mathematical Logic 46 (5-6):517-527.
The Classification of Small Types of Rank Ω, Part I.Steven Buechler & Colleen Hoover - 2001 - Journal of Symbolic Logic 66 (4):1884-1898.
1995 European Summer Meeting of the Association for Symbolic Logic.Johann A. Makowsky - 1997 - Bulletin of Symbolic Logic 3 (1):73-147.
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