2003/09/24 by Simona Paoli, Paoli, Simona
Mathematics · #18C15 #18G50 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT #math.CT #msc:18C15 #msc:18G50
paper · pdf · doi:10.48550/arxiv.math/0309400
12 pages, LaTeX2e, Paul Taylor's diagram package
arxiv created 2003/09/24 · openalex publication_date 2003/09/24 · arxiv updated 2016/09/07 · openalex created_date 2025/10/27 · openalex updated_date 2026/07/28
An algebraic category C is called balanced if the cotriple cohomology of any object of C vanishes in positive dimensions on injective coefficient modules. Important examples of balanced and of non-balanced categories occur in the literature. In this paper we prove that the category of crossed modules in groups is non-balanced.