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- W2007148812 abstract "We work with Steel's core model under the assumption that there is no inner class model for a Woodin cardinal. If there is no ω 1 V strong cardinal in the Steel core model, then K ∩ HC is projective. Moreover, if V = M Coll(ω, < κ) for k measurable in M , then K is projective up to the first < ω 1 V - strong . This is used to resolve negatively the boldface correctness conjecture from Hauser (1995). We also show in ZFC that set forcing cannot create class models with a given number of strongs." @default.
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- W2007148812 date "1997-01-01" @default.
- W2007148812 modified "2023-09-26" @default.
- W2007148812 title "Strong cardinals in the core model" @default.
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- W2007148812 doi "https://doi.org/10.1016/s0168-0072(97)00014-6" @default.
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