2023/09/28 by Alessandro Linzi, Linzi, Alessandro
Mathematics · #12J20 #18B99 #20N20 #Advanced Topology and Set Theory #Category Theory (math.CT) #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2309.16404
openalex publication_date 2023/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In 1957 M. Krasner described a complete valued field (K,v) via the projective limit of a system of certain structures, called hyperfields, associated to (K,v). We put this result in purely category-theoretic terms by translating into a limit construction in certain slice categories of the category of valued hyperfields and their homomorphisms.