Killing the $GCH$ everywhere with a single real

Journal of Symbolic Logic 78 (3):803-823 (2013)
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A Characterization of Generalized Příkrý Sequences.Gunter Fuchs - 2005 - Archive for Mathematical Logic 44 (8):935-971.
Genericity and large cardinals.Sy D. Friedman - 2005 - Journal of Mathematical Logic 5 (02):149-166.

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