Strongly uplifting cardinals and the boldface resurrection axioms

Archive for Mathematical Logic 56 (7-8):1115-1133 (2017)
Abstract
We introduce the strongly uplifting cardinals, which are equivalently characterized, we prove, as the superstrongly unfoldable cardinals and also as the almost-hugely unfoldable cardinals, and we show that their existence is equiconsistent over ZFC with natural instances of the boldface resurrection axiom, such as the boldface resurrection axiom for proper forcing.
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DOI 10.1007/s00153-017-0542-y
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References found in this work BETA
The Lottery Preparation.Joel David Hamkins - 2000 - Annals of Pure and Applied Logic 101 (2-3):103-146.
Resurrection Axioms and Uplifting Cardinals.Joel David Hamkins & Thomas A. Johnstone - 2014 - Archive for Mathematical Logic 53 (3-4):463-485.
Indestructible Strong Unfoldability.Joel David Hamkins & Thomas A. Johnstone - 2010 - Notre Dame Journal of Formal Logic 51 (3):291-321.
The Bounded Proper Forcing Axiom.Martin Goldstern & Saharon Shelah - 1995 - Journal of Symbolic Logic 60 (1):58-73.

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Citations of this work BETA
Hierarchies of Resurrection Axioms.Gunter Fuchs - 2018 - Journal of Symbolic Logic 83 (1):283-325.
Diagonal Reflections on Squares.Gunter Fuchs - forthcoming - Archive for Mathematical Logic:1-26.

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