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

Džamonja, Mirna and Hamkins, Joel David (2006) Diamond (on the regulars) can fail at any strongly unfoldable cardinal. Annals of Pure and Applied Logic, 144 (1-3). pp. 83-95.

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Abstract

If ? is any strongly unfoldable cardinal, then this is preserved in a forcing extension in which ??(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.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Logic (former - to 2024) Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR)
Related URLs:	http://arxiv.org/abs/math.LO/0409304
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 10:19
Last Modified:	13 Oct 2025 12:38
URI:	https://ueaeprints.uea.ac.uk/id/eprint/19959
DOI:	10.1016/j.apal.2006.05.001

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