Diamond (on the regulars) can fail at any strongly unfoldable cardinal
Logic
2007-05-23 v1
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.
Cite
@article{arxiv.math/0409304,
title = {Diamond (on the regulars) can fail at any strongly unfoldable cardinal},
author = {Joel David Hamkins and Mirna Džamonja},
journal= {arXiv preprint arXiv:math/0409304},
year = {2007}
}
Comments
25 pages