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Homogeneous iteration and measure one covering relative to HOD
Archive for Mathematical Logic 47 (7-8):711-718 (2008)
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 iterationsAuthor's Profile
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Citations of this work
Homogeneous changes in cofinalities with applications to HOD.Omer Ben-Neria & Spencer Unger - 2017 - Journal of Mathematical Logic 17 (2):1750007.
Collapsing the cardinals of HOD.James Cummings, Sy David Friedman & Mohammad Golshani - 2015 - Journal of Mathematical Logic 15 (2):1550007.
On extendible cardinals and the GCH.Konstantinos Tsaprounis - 2013 - Archive for Mathematical Logic 52 (5-6):593-602.
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.
References found in this work
Defeaters in current epistemology: introduction to the special issue.Luca Moretti & Tommaso Piazza - 2018 - Synthese 195 (7):2845-2854.
Internal Consistency and Global Co-stationarity of the Ground Model.Natasha Dobrinen & Sy-David Friedman - 2008 - Journal of Symbolic Logic 73 (2):512 - 521.
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