Diamond (on the regulars) can fail at any strongly unfoldable cardinal
Abstract
If kappa is any strongly unfoldable cardinal, then this is preserved in a forcing extension in which Diamond_kappa(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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- September 2004
- DOI:
- 10.48550/arXiv.math/0409304
- arXiv:
- arXiv:math/0409304
- Bibcode:
- 2004math......9304H
- Keywords:
-
- Mathematics - Logic;
- 03E55;
- 03E35;
- 03E05
- E-Print:
- 25 pages