2023/06/22 by Moti Gitik, Gitik, Moti, Sittinon Jirattikansakul +1
Computer Science · Economics, Econometrics and Finance · Mathematics · #03E04 #03E10 #03E35 #03E55 #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #Economic theories and models #FOS: Mathematics #Logic (math.LO)
paper · pdf · doi:10.48550/arxiv.2306.12831
openalex publication_date 2023/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Continuing \citeGitJir22, we develop a version of Extender-based Magidor-Radin forcing where there are no extenders on the top ordinal. As an application, we provide another approach to obtain a failure of SCH on a club subset of an inaccessible cardinal, and a model where the cardinal arithmetic behaviors are different on stationary classes, whose union is the club, is provided. The cardinals and the cofinalities outside the clubs are not affected by the forcings.