2024/12/27 by Jeffrey Bergfalk, Chris Lambie‐Hanson, Bergfalk, Jeffrey +1 · 1 citation
Computer Science · Mathematics · #03E05 #03E35 #03E75 #13D05 #18F10 #18G80 #Advanced Topology and Set Theory #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Logic (math.LO) #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.2412.19605
openalex publication_date 2024/12/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
Recent advances in our understanding of higher derived limits carry multiple implications in the fields of condensed and pyknotic mathematics, as well as for the study of strong homology. These implications are thematically diverse, pertaining, for example, to the sheaf theory of extremally disconnected spaces, to Banach--Smith duality, to the productivity of compact projective condensed anima, and to the structure of the derived category of condensed abelian groups. Underlying each of these implications are the combinatorics of multidimensionally coherent families of functions of small infinite cardinal height, and it is for this reason that we convene accounts of them together herein.