Interpreting groups and fields in some nonelementary classes

Mathematics – Logic

Scientific paper

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Scientific paper

This paper is concerned with extensions of geometric stability theory to some nonelementary classes. We prove the following theorem: Theorem: Let C be a large homogeneous model of a stable diagram D. Let p, q in S_D(A), where p is quasiminimal and q unbounded. Let P=p(C) and Q=q(C). Suppose that there exists an integer n

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