Dualization of the Hopf algebra of secondary cohomology operations and the Adams spectral sequence

DOI10.1017/is010010029jkt133zbMath1231.18009arXiv0809.2627OpenAlexW2963482835MaRDI QIDQ3004394

Mamuka Jibladze, Hans-Joachim Baues

Publication date: 1 June 2011

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.2627

zbMATH Keywords

Steenrod algebra2-categoryAdams spectral sequencesecondary cohomology operationsdualization of Hopf algebra

Mathematics Subject Classification ID

Spectral sequences, hypercohomology (18G40) Resolutions; derived functors (category-theoretic aspects) (18G10) Adams spectral sequences (55T15) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Applied homological algebra and category theory in algebraic topology (55U99) Secondary and higher cohomology operations in algebraic topology (55S20)

Related Items (4)

Higher Toda brackets and the Adams spectral sequence in triangulated categories ⋮ Higher order derived functors and the Adams spectral sequence ⋮ Stable homotopy groups of spheres and motivic homotopy theory ⋮ 2-track algebras and the Adams spectral sequence

Uses Software

• OEIS

Cites Work

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• The Steenrod algebra and its dual
• On the structure and applications of the Steenrod algebra
• Secondary derived functors and the Adams spectral sequence
• A new differential in the Adams spectral sequence
• Cohomology of small categories
• Acyclic models for multicomplexes
• Classification of abelian track categories
• On the nonexistence of elements of Hopf invariant one
• The algebra of quasi-symmetric functions is free over the integers

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