The homology algebra of finite H-spaces

DOI10.1016/0022-4049(86)90110-6zbMath0635.57027OpenAlexW2057754699MaRDI QIDQ1097554

Richard Kane

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0022-4049(86)90110-6

zbMATH Keywords

rankaction of the Steenrod algebrafinite H-spaceassociative Pontrjagin productexceptional Lie group \(E_ 8\)indecomposables of the cohomology ringprimitive elements of the homology coalgebra

Mathematics Subject Classification ID

(H)-spaces and duals (55P45) Steenrod algebra (55S10) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05) Homology and cohomology of (H)-spaces (57T25)

Related Items (1)

Cohomology rings of 3-local finite \(H\)-spaces

Cites Work

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• The Steenrod algebra and its dual
• Torsion in H-spaces. I
• Torsion in homotopy associative H-spaces
• Torsion in H-spaces. II
• Steenrod squares and H-spaces. II
• Homotopy commutativity and the Moore spectral sequence
• The cohomology of quotients of classical groups
• On the structure of Hopf algebras
• Steenrod squares and \(H\)-spaces
• The cohomology of finite H-spaces as U(M) algebras III
• The cohomology of finite H-spaces as U(M) algebras: I
• BP Torsion in Finite H-Spaces
• The cohomology of finite H-spaces as U(M) algebras. II
• Operations in connective 𝐾-theory
• On Differential Hopf Algebras

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