Title of article :
Diamond (on the regulars) can fail at any strongly unfoldable cardinal
Author/Authors :
D?amonja، نويسنده , , Mirna and Hamkins، نويسنده , , Joel David Hamkins، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2006
Abstract :
If κ is any strongly unfoldable cardinal, then this is preserved in a forcing extension in which ♢ κ (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.
Keywords :
Laver function , Diamond sequence , Unfoldable cardinals , Infinite combinatorics
Journal title :
Annals of Pure and Applied Logic
Journal title :
Annals of Pure and Applied Logic
