Homogeneous iteration and measure one covering relative to HOD

Archive for Mathematical Logic 47 (7-8):711-718 (2008)
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Abstract

Relative to a hyperstrong cardinal, it is consistent that measure one covering fails relative to HOD. In fact it is consistent that there is a superstrong cardinal and for every regular cardinal κ, κ + is greater than κ + of HOD. The proof uses a very general lemma showing that homogeneity is preserved through certain reverse Easton iterations

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Citations of this work

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Large cardinals and gap-1 morasses.Andrew D. Brooke-Taylor & Sy-David Friedman - 2009 - Annals of Pure and Applied Logic 159 (1-2):71-99.

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