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Forking in VC-minimal theories

Published online by Cambridge University Press:  12 March 2014

Sarah Cotter  and
Sergei Starchenko
Sarah Cotter
Affiliation:
University of Notre Dame, Department of Mathematics, Notre Dame, IN 46556, USA, E-mail: scotter1@nd.edu
Sergei Starchenko
Affiliation:
University of Notre Dame, Department of Mathematics, Notre Dame, IN 46556, USA, E-mail: starchenko.1@nd.edu
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Abstract

We consider VC-minimal theories admitting unpackable generating families, and show that in such theories, forking of formulae over a model M is equivalent to containment in global types definable over M, generalizing a result of Dolich on o-minimal theories in [4].

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 77 , Issue 4 , December 2012 , pp. 1257 - 1271
Copyright
Copyright © Association for Symbolic Logic 2012

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References

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