2002/03/01 by Igor Mineyev · 2 citations
Mathematics · #Advanced Operator Algebra Research #Algebra over a field #Bounded function #Cohomology #Combinatorics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematics #Pure mathematics
paper · doi:10.1093/qjmath/53.1.59
openalex publication_date 2002/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
A finitely presentable group G is hyperbolic if and only if the map Hb2 (G, V) → H2 (G, V) is surjective for any bounded G‐module. The ‘only if’ direction is known and here we prove the ‘if’ direction. We also consider several ways to define a linear homological isoperimetric inequality.