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Compactness and Independence in Non First Order Frameworks

Published online by Cambridge University Press:  15 January 2014

Itay Ben-Yaacov
Itay Ben-Yaacov*
Affiliation:
University of Wisconsin - Madison, Department of Mathematics, 480 Lincoln Drive, Madison, WI 53706-1388, USA URL: http://www.math.wisc.edu/~pezz
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Abstract

This communication deals with positive model theory, a non first order model theoretic setting which preserves compactness at the cost of giving up negation. Positive model theory deals transparently with hyperimaginaries, and accommodates various analytic structures which defy direct first order treatment. We describe the development of simplicity theory in this setting, and an application to the lovely pairs of models of simple theories without the weak non finite cover property.

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Type
Research Article
Information
Bulletin of Symbolic Logic , Volume 11 , Issue 1 , March 2005 , pp. 28 - 50
Copyright
Copyright © Association for Symbolic Logic 2005

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References

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