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Resurrection axioms and uplifting cardinals

2013/07/13 by Joel David Hamkins, Hamkins, Joel David, Thomas A. Johnstone +1 · 1 citation
Computer Science · Mathematics · #03E35 #03E55 #03E57 #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Logic (math.LO)

paper · pdf · doi:10.48550/arxiv.1307.3602

openalex publication_date 2013/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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