The double complex transfer at the prime 2

DOI10.1016/0166-8641(96)00028-4zbMath0861.55011OpenAlexW2051829074MaRDI QIDQ1924644

Mitsunori Imaoka

Publication date: 3 December 1996

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(96)00028-4

zbMATH Keywords

complex projective spacestable homotopychromatic filtrationdouble \(S^ 1\)-transfer

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Topological (K)-theory (55N15) Stable homotopy groups (55Q10) Transfer for fiber spaces and bundles in algebraic topology (55R12)

Cites Work

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• The localization of spectra with respect to homology
• There are no phantom cohomology operations in K-theory
• On the iterated complex transfer
• Novikov's \(Ext^ 2\) at the prime 2
• Factorization of double transfer maps
• \(K_ 0\)-groups of projective spaces
• On the Kummer Congruences and the Stable Homotopy of BU
• Stable Homotopy Theory is not Self-Dual

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