2019/09/27 by F. Marmolejo, Francisco Marmolejo, Marmolejo, Francisco +3
Mathematics · Medicine · #14A25 #18B25 #18F20 #51K10 #Algebraic and Geometric Analysis #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Medicine #math.CT #msc:14A25 #msc:18B25 #msc:18F20 #msc:51K10
paper · pdf · doi:10.48550/arxiv.1909.12757
28 pages
arxiv created 2019/09/27 · openalex publication_date 2019/09/27 · arxiv updated 2019/09/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/08/05
Lawvere has observed that certain 'gros' toposes in algebraic geometry suggest the existence of an 'infinitesimal level', closely related to finite-dimensional local algebras. Motivated by this observation we propose an elementary definition of level ε associated to a local geometric morphism, establish some relevant basic properties suggested by geometric intuition, and give concrete descriptions of the level ε determined by several pre-cohesive geometric morphisms.