Discouraging results for ultraimaginary independence theory

Journal of Symbolic Logic 68 (3):846-850 (2003)
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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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Citations of this work

Plus ultra.Frank O. Wagner - 2015 - Journal of Mathematical Logic 15 (2):1550008.
On supersimplicity and lovely pairs of cats.Itaï Ben Yaacov - 2006 - Journal of Symbolic Logic 71 (3):763-776.

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References found in this work

Simplicity, and Stability in There.Byunghan Kim - 2001 - Journal of Symbolic Logic 66 (2):822-836.

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