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On supersimplicity and lovely pairs of cats

Published online by Cambridge University Press:  12 March 2014

Itay Ben-Yaacov
Itay Ben-Yaacov*
Affiliation:
University of Wisconsin – Madison, Department of Mathematics, 480 Lincoln Drive Madison, WI 53706, USAURL:http://www.math.wisc.edu/~pezz. E-mail:[email protected]
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Abstract

We prove that the definition of supersimplicity in metric structures from [7] is equivalent to an a priori stronger variant. This stronger variant is then used to prove that if T is a supersimple Hausdorff cat then so is its theory of lovely pairs.

Keywords

beautiful pairslovely pairssupersimplicitysuperstabilityHausdorff catsmetric structures
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 71 , Issue 3 , September 2006 , pp. 763 - 776
Copyright
Copyright © Association for Symbolic Logic 2006

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References

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