There are no phantom cohomology operations in K-theory

DOI10.2140/pjm.1983.107.279zbMath0551.55012OpenAlexW2074692608MaRDI QIDQ801327

D. W. Anderson

Publication date: 1983

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1983.107.279

zbMATH Keywords

Atiyah-Hirzebruch spectral sequencephantomaxiomatic homotopy theorycohomology operations in connected K-theoriescompletely phantom operationsDold spectral sequences

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Topological (K)-theory (55N15) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25)

Related Items (4)

The double complex transfer at the prime 2 ⋮ An automorphism of orthogonal algebraic K-theory ⋮ The plethory of operations in complex topological \(K\)-theory ⋮ Infinite loop space theory

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