Regular ultrafilters and finite square principles

We show that many singular cardinals above a strongly compact cardinal have regular ultrafilters D that violate the finite square principle fin ,D introduced in [3]. For such ultrafilters D and cardinals Research partially supported by a grant from NWO and grant 40734 of the Academy of Finland. The second author would like to thank the Israel Science Foundation for partial support of this research (Grant no. 242/03). Publication 912. Research partially supported by grant 40734 of the Academy of Finland. 1 

• Type: Journal
• Year: 2008
• Where: JSYML
• Authors: Juliette Kennedy, Saharon Shelah, Jouko A. Väänänen
• Keywords: JSYML 2008, Singular Cardinals, Square Principle Fin, Strongly Compact Cardinal