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Unfoldable Cardinals and the GCH
Journal of Symbolic Logic 66 (3):1186-1198 (2001)
Abstract
Unfoldable cardinals are preserved by fast function forcing and the Laver-like preparations that fast functions support. These iterations show, by set-forcing over any model of ZFC, that any given unfoldable cardinal $\kappa$ can be made indestructible by the forcing to add any number of Cohen subsets to $\kappa$.Author's Profile
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Citations of this work
Strongly uplifting cardinals and the boldface resurrection axioms.Joel David Hamkins & Thomas A. Johnstone - 2017 - Archive for Mathematical Logic 56 (7-8):1115-1133.
The least weakly compact cardinal can be unfoldable, weakly measurable and nearly $${\theta}$$ θ -supercompact.Brent Cody, Moti Gitik, Joel David Hamkins & Jason A. Schanker - 2015 - Archive for Mathematical Logic 54 (5-6):491-510.
On unfoldable cardinals, ω-closed cardinals, and the beginning of the inner model hierarchy.P. D. Welch - 2004 - Archive for Mathematical Logic 43 (4):443-458.
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