Homotopy theory of simplicial abelian Hopf algebras

DOI10.1016/S0022-4049(97)00142-4zbMath0927.55022OpenAlexW2061088184MaRDI QIDQ1295693

James M. Turner, Paul G. Goerss

Publication date: 13 December 1999

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

Full work available at URL: https://doi.org/10.1016/s0022-4049(97)00142-4

zbMATH Keywords

weak equivalenceDieudonné theorysimplicial abelian Hopf algebras

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35) Applied homological algebra and category theory in algebraic topology (55U99)

Related Items

Resolutions of operads via Koszul (bi)algebras ⋮ Hermitian K-theory of exact categories ⋮ On simplicial commutative algebras with noetherian homotopy

Cites Work

• Unnamed Item
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• Homology of symmetric products and other functors of complexes
• Vecteurs de Witt non commutatifs et représentabilité de l'homologie modulo \(p\). (Noncommutative Witt vectors and representability of homology modulo \(p\))
• Homotopy and homology of simplicial Abelian Hopf algebras
• Relations in the homotopy of simplicial abelian Hopf algebras
• The bigraded homotopy groups \(\pi_{i,j} X\) of a pointed simplicial space \(X\)
• Simplicial chains over a field and \(p\)-local homotopy theory
• Homotopical algebra
• Etude de la catégorie des algèbres de Hopf commutatives connexes sur un corps. (Study of the category of connected Abelian Hopf algebras over a field)
• Lectures on \(p\)-divisible groups
• On the groups \(H(\Pi,n)\). I
• On the Homology Spectral Sequence of a Cosimplicial Space
• Homotopy Operations for Simplicial Commutative Algebras
• Nice Homology Coalgebras
• Steenrod Squares in Spectral Sequences. I