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

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

2004-09-17

arxiv.org/abs/math/0409304v1

Mathematics

Logic

25 pages

Scientific paper

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.

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