The homotopy category of \(N\)-complexes is a homotopy category

DOI10.1007/s40062-013-0043-6zbMath1310.18006arXiv1207.6792OpenAlexW2020507428MaRDI QIDQ2018830

James Gillespie

Publication date: 25 March 2015

Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.6792

zbMATH Keywords

\(N\)-complexmodel structure

Mathematics Subject Classification ID

Related Items (12)

Cartan-Eilenberg Gorenstein-injective \(m\)-complexes ⋮ Cartan-Eilenberg \(N\)-complexes with respect to self-orthogonal subcategories ⋮ Well generatedness and adjoints for homotopy categories of \(N\)-complexes ⋮ Homotopy category of \(N\)-complexes of projective modules ⋮ Hereditary abelian model categories ⋮ THE HOMOTOPY CATEGORIES OF N-COMPLEXES OF INJECTIVES AND PROJECTIVES ⋮ Cotorsion pairs and adjoint functors in the homotopy category of N-complexes ⋮ Cohomology of torsion and completion of N-complexes ⋮ Cartan-Eilenberg Gorenstein projective N-complexes ⋮ On the recollements of functor categories ⋮ Monoidal structures for \(N\)-complexes ⋮ A new approach to projectivity in the categories of complexes. II

Cites Work

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• Model structures on exact categories
• \(d^N=0\): Generalized homology
• Homological constructions on \(N\)-complexes
• Cotorsion pairs, model category structures, and representation theory
• Relative homological algebra
• \({\mathsf{N}}\)-complexes as functors, amplitude cohomology and fusion rules
• Homotopical algebra
• The homotopy category is a homotopy category
• Exact categories
• The homotopy category of chain complexes is a homotopy category
• N-COMPLEXES AND HIGHER SPIN GAUGE FIELDS
• Higher algebraic K-theory: I
• Gorenstein model structures and generalized derived categories
• Monomial Algebras over Infinite Quivers. Applications toN-Complexes of Modules
• Homological algebra of \(N\)-complexes and Hochschild homology of roots of unity

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