On Supersimplicity and Lovely Pairs of Cats

Journal of Symbolic Logic 71 (3):763 - 776 (2006)
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
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DOI 10.2178/jsl/1154698575
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References found in this work BETA

Lovely Pairs of Models.Itay Ben-Yaacov, Anand Pillay & Evgueni Vassiliev - 2003 - Annals of Pure and Applied Logic 122 (1-3):235-261.
Positive Model Theory and Compact Abstract Theories.Itay Ben-Yaacov - 2003 - Journal of Mathematical Logic 3 (01):85-118.
Simplicity in Compact Abstract Theories.Itay Ben-Yaacov - 2003 - Journal of Mathematical Logic 3 (02):163-191.
Compactness and Independence in Non First Order Frameworks.Itay Ben-Yaacov - 2005 - Bulletin of Symbolic Logic 11 (1):28-50.

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Citations of this work BETA

On Perturbations of Continuous Structures.Itaï Ben Yaacov - 2008 - Journal of Mathematical Logic 8 (2):225-249.

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