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Lovely pairs of models: the non first order case

Published online by Cambridge University Press:  12 March 2014

Itay Ben-Yaacov
Itay Ben-Yaacov*
Affiliation:
University of Wisconsin-Madison, Mathematics Department, 480 Lincoln DR, Madison WI 53706-1388, USA, E-mail: [email protected], URL: http://www-math.mit.edu/~pezz
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Abstract.

We prove that for every simple theory T (or even simple thick compact abstract theory) there is a (unique) compact abstract theory whose saturated models are the lovely pairs of T. Independence-theoretic results that were proved in [5] when is a first order theory are proved for the general case: in particular is simple and we characterise independence.

Keywords

simple theories – lovely pairs
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 69 , Issue 3 , September 2004 , pp. 641 - 662
Copyright
Copyright © Association for Symbolic Logic 2004

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References

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