Husemoller-Witt decompositions and actions of the Steenrod algebra

DOI10.1017/S0013091500022690zbMath0558.55012MaRDI QIDQ3223552

Andrew Baker

Publication date: 1985

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

complex K-theoryhomology of the classifying space of the infinite unitary groupring of p-Witt vectorsSteenrod actionsub-Hopf algebras over the Steenrod algebra

Mathematics Subject Classification ID

Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Steenrod algebra (55S10) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) General theory of spectral sequences in algebraic topology (55T05) Homology and homotopy of (Bmathrm{O}) and (Bmathrm{U}); Bott periodicity (55R45)

Related Items (3)

\(\mathcal {E}_\infty \) ring spectra and elements of Hopf invariant 1 ⋮ A Fractal-Like Algebraic Splitting of the Classifying Space for Vector Bundles ⋮ Power operations and coactions in highly commutative homology theories

Cites Work

• The Steenrod algebra and its dual
• Bipolynomial Hopf algebras
• The Adams-Novikov spectral sequence for the spheres
• Homology comodules
• The homology of MSpin
• A Decomposition Theorem for Certain Bipolynomial Hopf Algebras
• Steenrod and Dyer-Lashof Operations on BU
• Power series methods in unoriented cobordism
• An algebraic filtration of 𝐻_{*}𝐵𝑂
• The Structure of the Hopf Algebra H * (BU) over a Z (p) -Algebra

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