Strongly uplifting cardinals and the boldface resurrection axioms
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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.
KeywordsLarge cardinals Forcing Resurrection axiom
Mathematics Subject Classification03E55 03E57
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