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September 2003 Discouraging results for ultraimaginary independence theory
Itay Ben-Yaacov
J. Symbolic Logic 68(3): 846-850 (September 2003). DOI: 10.2178/jsl/1058448443

Abstract

Dividing independence for ultraimaginaries is neither symmetric nor transitive. Moreover, any notion of independence satisfying certain axioms (weaker than those for independence in a simple theory) and defined for all ultraimaginary sorts, is necessarily trivial.

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Itay Ben-Yaacov. "Discouraging results for ultraimaginary independence theory." J. Symbolic Logic 68 (3) 846 - 850, September 2003. https://doi.org/10.2178/jsl/1058448443

Information

Published: September 2003
First available in Project Euclid: 17 July 2003

zbMATH: 1060.03050
MathSciNet: MR2004F:03063
Digital Object Identifier: 10.2178/jsl/1058448443

Subjects:
Primary: 03C45, 03C95

Rights: Copyright © 2003 Association for Symbolic Logic

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Vol.68 • No. 3 • September 2003
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