2020/12/16 by Nikolai V. Ivanov, Ivanov, Nikolai V.
Mathematics · Medicine · #55N10 #55U15 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Historical and Scientific Studies #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2012.08690
openalex publication_date 2020/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The paper is devoted to an adaptation of author's approach to Leray theorems in bounded cohomology theory to infinite chains. The main results are a stronger and more general form of Gromov's Vanishing-finiteness theorem and a generalization of the first part of his Cutting-of theorem. The proofs are elementary.