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Diamond (on the regulars) can fail at any strongly unfoldable cardinal

Joel David Hamkins·Mirna Džamonja
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Abstract

If kappa is any strongly unfoldable cardinal, then this is preserved in a forcing extension in which Diamond_kappa(REG) fails. This result continues the progression of the corresponding results for weakly compact cardinals, due to Woodin, and for indescribable cardinals, due to Hauser.

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Joel David Hamkins, Mirna Džamonja. 2004-09-17. Diamond (on the regulars) can fail at any strongly unfoldable cardinal. https://arxiv.org/abs/math/0409304

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