Open Access
2013 Elimination of Hyperimaginaries and Stable Independence in Simple CM-Trivial Theories
D. Palacín, F. O. Wagner
Notre Dame J. Formal Logic 54(3-4): 541-551 (2013). DOI: 10.1215/00294527-2143970

Abstract

In a simple CM-trivial theory every hyperimaginary is interbounded with a sequence of finitary hyperimaginaries. Moreover, such a theory eliminates hyperimaginaries whenever it eliminates finitary hyperimaginaries. In a supersimple CM-trivial theory, the independence relation is stable.

Citation

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D. Palacín. F. O. Wagner. "Elimination of Hyperimaginaries and Stable Independence in Simple CM-Trivial Theories." Notre Dame J. Formal Logic 54 (3-4) 541 - 551, 2013. https://doi.org/10.1215/00294527-2143970

Information

Published: 2013
First available in Project Euclid: 9 August 2013

zbMATH: 1278.03070
MathSciNet: MR3091670
Digital Object Identifier: 10.1215/00294527-2143970

Subjects:
Primary: 03C45

Keywords: CM-trivial , hyperimaginaries , simple , stable forking

Rights: Copyright © 2013 University of Notre Dame

Vol.54 • No. 3-4 • 2013
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