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Inner Models and Large Cardinals
Bulletin of Symbolic Logic 9 (2):234-235 (2003)
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Inner Models and Large Cardinals. [REVIEW]Ernest Schimmerling - 2003 - Bulletin of Symbolic Logic 9 (2):234-235.
Theorem 1 (Easton's Theorem). There is a forcing extension L [G] of L in which GCH fails at every regular cardinal. Assume that the universe V of all sets is rich in the sense that it contains inner models with large cardinals. Then what is the relationship between Easton's model L [G] and V? In particular, are these models compatible. [REVIEW]Sy-David Friedman - 2006 - Bulletin of Symbolic Logic 12 (4).
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Citations of this work
Covering theorems for the core model, and an application to stationary set reflection.Sean Cox - 2010 - Annals of Pure and Applied Logic 161 (1):66-93.
A criterion for coarse iterability.Gunter Fuchs, Itay Neeman & Ralf Schindler - 2010 - Archive for Mathematical Logic 49 (4):447-467.
The strength of choiceless patterns of singular and weakly compact cardinals.Daniel Busche & Ralf Schindler - 2009 - Annals of Pure and Applied Logic 159 (1-2):198-248.
Recognizable sets and Woodin cardinals: computation beyond the constructible universe.Merlin Carl, Philipp Schlicht & Philip Welch - 2018 - Annals of Pure and Applied Logic 169 (4):312-332.
A premouse inheriting strong cardinals from V.Farmer Schlutzenberg - 2020 - Annals of Pure and Applied Logic 171 (9):102826.
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