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

On Extendible Cardinals and the GCH.Konstantinos Tsaprounis - 2013 - Archive for Mathematical Logic 52 (5-6):593-602.
Collapsing the Cardinals of HOD.James Cummings, Sy David Friedman & Mohammad Golshani - 2015 - Journal of Mathematical Logic 15 (2):1550007.
Easton’s Theorem in the Presence of Woodin Cardinals.Brent Cody - 2013 - Archive for Mathematical Logic 52 (5-6):569-591.
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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The Higher Infinite.Akihiro Kanamori - 2000 - Studia Logica 65 (3):443-446.

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