Abstract.
We prove the following theorem: Suppose that there is a singular \(\kappa\) with the set of \(\alpha\)'s with \(o(\alpha)=\alpha^{+n}\) unbounded in it for every \(n < \omega\). Then in a generic extesion there are two precovering sets which disagree about common indiscernibles unboundedly often.
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Received February 7, 1994
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Gitik, M. On hidden extenders . Arch Math Logic 35, 349–369 (1996). https://doi.org/10.1007/s001530050050
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DOI: https://doi.org/10.1007/s001530050050