The Dold-Kan correspondence and coalgebra structures

DOI10.1007/s40062-014-0096-1zbMath1349.18031arXiv1110.5193OpenAlexW3100820266MaRDI QIDQ260073

W. Hermann B. Sore

Publication date: 18 March 2016

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

Full work available at URL: https://arxiv.org/abs/1110.5193

zbMATH Keywords

model categorydifferential graded coalgebrasDold-Kan correspondence

Mathematics Subject Classification ID

Coalgebras and comodules; corings (16T15) Homotopical algebra, Quillen model categories, derivators (18N40) Simplicial sets, simplicial objects (18N50)

Related Items (2)

On a Quillen adjunction between the categories of differential graded and simplicial coalgebras ⋮ A monoidal Dold-Kan correspondence for comodules

Cites Work

• The localization of spaces with respect to homology
• Differential homological algebra and homogeneous spaces
• Lie algebras, coalgebras and rational homotopy theory for nilpotent spaces
• Axiomatic homotopy theory for operads
• Equivalences of monoidal model categories
• Quillen closed model structures for sheaves
• Simplicial chains over a field and \(p\)-local homotopy theory
• Homotopy algebras and the inverse of the normalization functor
• Homotopical algebra
• Rational homotopy theory
• Limits of coalgebras, bialgebras and Hopf algebras
• Algebras and Modules in Monoidal Model Categories
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