Archive for Mathematical Logic 56 (7-8):1115-1133 (2017)

Authors
Joel David Hamkins
Oxford University
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.
The Bounded Proper Forcing Axiom.Martin Goldstern & Saharon Shelah - 1995 - Journal of Symbolic Logic 60 (1):58-73.
Indestructible Strong Unfoldability.Joel David Hamkins & Thomas A. Johnstone - 2010 - Notre Dame Journal of Formal Logic 51 (3):291-321.

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Citations of this work BETA

Diagonal Reflections on Squares.Gunter Fuchs - 2019 - Archive for Mathematical Logic 58 (1-2):1-26.
Hierarchies of Resurrection Axioms.Gunter Fuchs - 2018 - Journal of Symbolic Logic 83 (1):283-325.
Combining Resurrection and Maximality.Kaethe Minden - 2021 - Journal of Symbolic Logic 86 (1):397-414.

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