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

Mirna Džamonja, Joel David Hamkins

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


If ? is any strongly unfoldable cardinal, then this is preserved in a forcing extension in which ??(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.
Original languageEnglish
Pages (from-to)83-95
Number of pages13
JournalAnnals of Pure and Applied Logic
Issue number1-3
Publication statusPublished - 1 Dec 2006

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