Journal of Mathematical Logic 15 (2):1550008 (2015)

Abstract
We define a reasonably well-behaved class of ultraimaginaries, i.e. classes modulo [Formula: see text]-invariant equivalence relations, called tame, and establish some basic simplicity-theoretic facts. We also show feeble elimination of supersimple ultraimaginaries: If [Formula: see text] is an ultraimaginary definable over a tuple [Formula: see text] with [Formula: see text], then [Formula: see text] is eliminable up to rank [Formula: see text]. Finally, we prove some uniform versions of the weak canonical base property.
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DOI 10.1142/s0219061315500087
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References found in this work BETA

Ample Thoughts.Daniel Palacín & Frank O. Wagner - 2013 - Journal of Symbolic Logic 78 (2):489-510.
Some Remarks on One-Basedness.Frank O. Wagner - 2004 - Journal of Symbolic Logic 69 (1):34-38.
Constructing an Almost Hyperdefinable Group.Itay Ben-Yaacov, Ivan Tomašić & Frank O. Wagner - 2004 - Journal of Mathematical Logic 4 (02):181-212.
Simplicity Theory.Byunghan Kim - 2013 - Oxford University Press.

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