Resurrection axioms and uplifting cardinals
Logic
2014-02-27 v2
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.
Cite
@article{arxiv.1307.3602,
title = {Resurrection axioms and uplifting cardinals},
author = {Joel David Hamkins and Thomas A. Johnstone},
journal= {arXiv preprint arXiv:1307.3602},
year = {2014}
}
Comments
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