2011/08/30 by Dennis Borisov, Borisov, Dennis
Mathematics · #Advanced Topics in Algebra #Advanced Topology and Set Theory #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Mathematical and Theoretical Analysis #Rings, Modules, and Algebras #math.DG
paper · pdf · doi:10.48550/arxiv.1108.5885
12 pages
openalex publication_date 2011/08/30 · arxiv created 2011/10/02 · arxiv updated 2011/10/04 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
Topologies on algebraic and equational theories are used to define germ determined, near-point determined, and point determined rings of smooth functions, without requiring them to be finitely generated. It is proved, that any commutative algebra morphism (without requiring continuity) between near-point determined rings of smooth functions is smooth (and hence continuous).