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Definability and Definable Groups in Simple Theories

Anand Pillay
The Journal of Symbolic Logic
Vol. 63, No. 3 (Sep., 1998), pp. 788-796
DOI: 10.2307/2586712
Stable URL: http://www.jstor.org/stable/2586712
Page Count: 9
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Definability and Definable Groups in Simple Theories
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Abstract

We continue the study of simple theories begun in [3] and [5]. We first find the right analogue of definability of types. We then develop the theory of generic types and stabilizers for groups definable in simple theories. The general ideology is that the role of formulas (or definability) in stable theories is replaced by partial types (or ∞-definability) in simple theories.

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