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
UEA Research Groups: Faculty of Science > Research Groups > Logic
Related URLs:
Depositing User: Vishal Gautam
Date Deposited: 18 Mar 2011 10:19
Last Modified: 14 Feb 2023 14:30
URI: https://ueaeprints.uea.ac.uk/id/eprint/19959
DOI: 10.1016/j.apal.2006.05.001

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