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.Comment: 24 pages. Commentary concerning this article can be made at
  http://jdh.hamkins.org/strongly-uplifting-cardinals-and-boldface-resurrectio

Hamkins

Joel David