Diamond (on the regulars) can fail at any strongly unfoldable cardinal
نویسندگان
چکیده
If κ is any strongly unfoldable cardinal, then this is preserved in a forcing extension in which 3κ(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.
منابع مشابه
1 7 Se p 20 04 Diamond ( on the regulars ) can fail at any strongly unfoldable cardinal
If κ is any strongly unfoldable cardinal, then this is preserved in a forcing extension in which 3κ(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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ورودعنوان ژورنال:
- Ann. Pure Appl. Logic
دوره 144 شماره
صفحات -
تاریخ انتشار 2006