Another denormalization theorem for abelian chain complexes

DOI10.1016/0022-4049(90)90029-HzbMath0716.18003MaRDI QIDQ752839

Dominique Bourn

Publication date: 1990

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

abelian categorychain homotopiesdenormalization equivalencesinternal n-groupoidsn-lax natural transformations

Mathematics Subject Classification ID

Chain complexes (category-theoretic aspects), dg categories (18G35)

Related Items (12)

The DG-category of secondary cohomology operations ⋮ Polyhedral monadicity of \(n\)-groupoids and standardized adjunction ⋮ Cohomologically trivial internal categories in categories of groups with operations ⋮ Categorical, homological, and homotopical properties of algebraic objects ⋮ The tower of n-groupoids and the long cohomology sequence ⋮ Unnamed Item ⋮ Convergent presentations and polygraphic resolutions of associative algebras ⋮ The (tetra) category of pseudocategories in an additive 2-category with kernels ⋮ Homology of categories via polygraphic resolutions ⋮ \(n\)-groupoids from \(n\)-truncated simplicial objects as a solution to a universal problem ⋮ On the notion of pseudocategory internal to a category with a 2-cell structure ⋮ Unnamed Item

Cites Work

• Homology of symmetric products and other functors of complexes
• Homologie nicht-additiver Funktoren. Anwendungen
• The tower of n-groupoids and the long cohomology sequence
• The algebra of oriented simplexes
• Colimit theorems for relative homotopy groups
• Formal category theory: Adjointness for 2-categories
• Functors Involving C.S.S. Complexes
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