Discouraging results for ultraimaginary independence theory

Journal of Symbolic Logic 68 (3):846-850 (2003)
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
Keywords dividing   independence   ultraimaginaries
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DOI 10.2178/jsl/1058448443
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