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  1. On the consistency strength of critical leaps.Gunter Fuchs - forthcoming - Archive for Mathematical Logic:1-14.
    In the analysis of the blurry $$\textsf{HOD}$$ hierarchy, one of the fundamental concepts is that of a leap, and it turned out that critical leaps are of particular interest. A critical leap is a leap which is the cardinal successor of a singular strong limit cardinal. Such a leap is sudden if its cardinal predecessor is not a leap, and otherwise, it is smooth. In prior work, I showed that the existence of a sudden critical leap is equiconsistent with the (...)
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