2017/05/31 by Christoforos Neofytidis
Mathematics · #Advanced Operator Algebra Research #Algebra over a field #Epistemology #Geometric and Algebraic Topology #Geometry #Homotopy and Cohomology in Algebraic Topology #Mathematical economics #Mathematics #Norm (philosophy) #Philosophy #Product (mathematics) #Pure mathematics #math.AT #math.GT
paper · pdf · doi:10.5565/publmat6422011
published as Publ. Mat. 64 (2020), 653--660 · 7 pages; v2: small changes, to appear in Publicacions Matemàtiques
arxiv created 2020/02/17 · openalex publication_date 2020/06/29 · arxiv updated 2020/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this note we determine all possible dominations between different products of manifolds when none of the factors of the codomain is dominated byproducts. As a consequence, we determine the finiteness of every product-associated functorial semi-norm on the fundamental classes of the afore mentioned products. These results give partial answers to questions of M. Gromov.