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Finitely based theories

Published online by Cambridge University Press:  12 March 2014

Ehud Hrushovski
Ehud Hrushovski*
Affiliation:
Department of Mathematics, Princeton University, Princeton, New Jersey 08544 Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903
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Abstract

A stable theory is finitely based if every set of indiscernibles is based on a finite subset. This is a common generalization of superstability and 1-basedness. We show that if such theories have more than one model they must have infinitely many, and prove some other conjectures.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 54 , Issue 1 , March 1989 , pp. 221 - 225
Copyright
Copyright © Association for Symbolic Logic 1989

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References

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