Journal of Symbolic Logic

Forking in VC-minimal theories

Sarah Cotter and Sergei Starchenko

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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].

Article information

J. Symbolic Logic, Volume 77, Issue 4 (2012), 1257-1271.

First available in Project Euclid: 15 October 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 03C45: Classification theory, stability and related concepts [See also 03C48] 03C64: Model theory of ordered structures; o-minimality


Cotter, Sarah; Starchenko, Sergei. Forking in VC-minimal theories. J. Symbolic Logic 77 (2012), no. 4, 1257--1271. doi:10.2178/jsl.7704110.

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