Dyer-Lashof operations in 𝐾-theory

DOI10.1090/S0273-0979-1983-15086-3zbMath0517.55013OpenAlexW2006722972MaRDI QIDQ3665903

James E. McClure

Publication date: 1983

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1983-15086-3

zbMATH Keywords

Bockstein spectral sequenceinfinite loopspaceKU-homotopy operations of the Dyer-Lashof typemod p K-theory of infinite loops on infinite suspensions

Mathematics Subject Classification ID

Topological (K)-theory (55N15) Spectral sequences in algebraic topology (55T99) Infinite loop spaces (55P47) Dyer-Lashof operations (55S12) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25)

Related Items (2)

l-adic and Z/l^∞-algebraic and topological K-theory ⋮ The computation of the Hodgkin-Snaith operation in K_*(Z × BU, Z/p)

Cites Work

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• A new differential in the Adams spectral sequence
• Higher torsion in SG and BSG
• The homology of iterated loop spaces
• Homotopy invariant algebraic structures on topological spaces
• The K-theory of some well-known spaces. I: QS\(^\circ\)
• On the K -Theory of the Kahn-Priddy Map
• On the K-theory of the extended power construction
• Homology of Iterated Loop Spaces

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