Resurrection axioms and uplifting cardinals

Abstract

We introduce the resurrection axioms, a new class of forcing axioms, and the uplifting cardinals, a new large cardinal notion, and prove that various instances of the resurrection axioms are equiconsistent over ZFC with the existence of an uplifting cardinal.

25 pages. To be published in the Archive for Mathematical Logic. Commentary concerning this article can be made at http://jdh.hamkins.org/resurrection-axioms-and-uplifting-cardinals

Cited by in corpus (1)

• Category forcings, $M{M}^{+++}$, and generic absoluteness for the theory of strong forcing axioms