2022/01/07 by Kenta Tsukuura, Tsukuura, Kenta
Mathematics · #03E04 #03E35 #03E55 #Advanced Topology and Set Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Logic (math.LO) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2201.02322
openalex publication_date 2022/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is known that the set of possible cofinalities pcf(A) has good properties if A is a progressive interval of regular cardinals. In this paper, we give an interval of regular cardinals A such that pcf(A) has no good properties in the presense of a measurable cardinal, or in generic extensions by Prikry-type forcing.