Some Pontrjagin rings, I

DOI10.1017/S030821050001547XzbMath0489.55006MaRDI QIDQ3951253

J. R. Hubbuck

Publication date: 1981

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Frobenius mapSteenrod algebrapolynomial algebraHopf algebra structureK-theory operationsH-space structures on BSU localized at a prime pintegral splittings of the Chern characterPontrjagin ring of H-spaces

Mathematics Subject Classification ID

Classification of homotopy type (55P15) (H)-spaces and duals (55P45) Steenrod algebra (55S10) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25) Secondary and higher cohomology operations in algebraic topology (55S20) Homology and cohomology of (H)-spaces (57T25)

Related Items (3)

Unstable atomicity and loop spaces on Lie groups ⋮ Homotopy associativity of sphere extensions ⋮ Some Pontrjagin rings. II

Cites Work

• Torsion in H-spaces. I
• H-spaces without simple torsion
• Torsion in H-spaces. II
• On the structure of Hopf algebras
• Finitely generated cohomology Hopf algebras
• Primitivity in torsion free cohomology Hopf algebras
• A Hopf Algebra Decomposition Theorem
• PRIMITIVE ELEMENTS IN THE K-THEORY OF BSU
• The Structure of the Hopf Algebra H * (BU) over a Z (p) -Algebra

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