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

Mirna Džamonja, Joel David Hamkins

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

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
Volume144
Issue number1-3
DOIs
Publication statusPublished - 1 Dec 2006

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