A Cartan-Eilenberg approach to homotopical algebra

DOI10.1016/j.jpaa.2009.04.009zbMath1198.18006arXiv0707.3704OpenAlexW2105734704MaRDI QIDQ1039768

Agustí Roig, Pere Pascual-Gainza, Francisco Guillén, Vicente Navarro Aznar

Publication date: 23 November 2009

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

Full work available at URL: https://arxiv.org/abs/0707.3704

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35)

Related Items

Cotorsion pairs and Cartan-Eilenberg categories, Godement resolution and operad sheaf homotopy theory, Derivability structures, \(E_{1}\)-formality of complex algebraic varieties, Godement resolutions and sheaf homotopy theory, Derived \(A\)-infinity algebras and their homotopies, Some remarks on Cartan-Eilenberg categories, Kan's combinatorial spectra and their sheaves revisited, Up-to-homotopy algebras with strict units, Cofibrant models of diagrams: Mixed Hodge structures in rational homotopy

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mixing model structures
• The differentiable chain functor is not homotopy equivalent to the continuous chain functor
• Calculating simplicial localizations
• Infinitesimal computations in topology
• Homotopical algebra
• Moduli spaces and formal operads
• Sur quelques points d'algèbre homologique
• Singular homology in differentiable manifolds
• On singular homology in differentiable spaces
• Triangulated Categories
• Monoidal Functors, Acyclic Models and Chain Operads
• Modular operads
• Acyclic Models
• Abstract homotopy theory and generalized sheaf cohomology
• Rational homotopy theory and differential forms