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
Pages
13
From page
83
To page
95
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
Serial Year
2006
Journal title
Annals of Pure and Applied Logic
Record number
1443855
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