2024/07/31 by Christopher Henney-Turner, Henney-Turner, Christopher, Philip Welch +1
Mathematics · #03E45 #03E55 #Advanced Operator Algebra Research #Advanced Topology and Set Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Logic (math.LO)
paper · pdf · doi:10.48550/arxiv.2407.21562
openalex publication_date 2024/07/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let R be the class of regular cardinals which are not hyperinaccessible. We show that L[R], and similar inner models in the α-inaccessible hierarchy, can be generated by iterating a small "machete" mouse up through all the ordinals, and then taking a generic extension by a hyperclass Magidor iteration of Prikry forcings. We then show that such simple mice are themselves elements of L[Reg].