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Journal Articles Journal of Mathematical Logic Year : 2015

Plus ultra

Frank Olaf Wagner
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We define a reasonably well-behaved class of ultraimaginaries, i.e.\ classes modulo invariant equivalence relations, called {\em tame}, and establish some basic simplicity-theoretic facts. We also show feeble elimination of supersimple ultraimaginaries: If $e$ is an ultraimaginary definable over a tuple $a$ with $SU(a)<\omega^{\alpha+1}$, then $e$ is eliminable up to rank $<\omega^\alpha$. Finally, we prove some uniform versions of the weak canonical base property.
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Dates and versions

hal-00656792 , version 1 (05-01-2012)
hal-00656792 , version 2 (20-01-2012)
hal-00656792 , version 3 (19-09-2012)
hal-00656792 , version 4 (21-03-2014)



Frank Olaf Wagner. Plus ultra. Journal of Mathematical Logic, 2015, 15 (2), pp.1550008. ⟨hal-00656792v4⟩
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