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Lascar strong types in some simple theories
Journal of Symbolic Logic 64 (2):817-824 (1999)
Abstract
In this paper a class of simple theories, called the low theories is developed, and the following is proved. Theorem. Let T be a low theory. A set and a, b elements realizing the same strong type over A. Then, a and b realized the same Lascar strong type over ALinks
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Citations of this work
Lovely pairs of models.Itay Ben-Yaacov, Anand Pillay & Evgueni Vassiliev - 2003 - Annals of Pure and Applied Logic 122 (1-3):235-261.
On the existence of indiscernible trees.Kota Takeuchi & Akito Tsuboi - 2012 - Annals of Pure and Applied Logic 163 (12):1891-1902.
The number of types in simple theories.Enrique Casanovas - 1999 - Annals of Pure and Applied Logic 98 (1-3):69-86.
Transitivity, Lowness, and Ranks in Nsop Theories.Artem Chernikov, K. I. M. Byunghan & Nicholas Ramsey - 2023 - Journal of Symbolic Logic 88 (3):919-946.
A Supersimple Nonlow Theory.Enrique Casanovas & Byunghan Kim - 1998 - Notre Dame Journal of Formal Logic 39 (4):507-518.
References found in this work
Classification Theory and the Number of Nonisomorphic Models.S. Shelah - 1982 - Journal of Symbolic Logic 47 (3):694-696.
The Lascar groups and the first homology groups in model theory.Jan Dobrowolski, Byunghan Kim & Junguk Lee - 2017 - Annals of Pure and Applied Logic 168 (12):2129-2151.
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