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The Jensen covering property. (English) Zbl 1011.03039
The authors present an extension of Jensen’s Covering Lemma to other, richer, core models. The main result applies to models of the form \(W=L[\vec{E},x]\) that satisfy some mild technical conditions – its conclusion provides either a normal ultrafilter that is weakly amenable to \(W\) and with a well-founded ultrapower of \(W\), or a special set of indiscernibles for \(W\).
The first alternative is obtained for example for \(L\) and the minimal model closed under sharps for sets (assuming they exist).
Reviewer: K.P.Hart (Delft)

MSC:
03E45 Inner models, including constructibility, ordinal definability, and core models
03E55 Large cardinals
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