The spectrum (P ⋀ bo) −∞

DOI10.1017/S030500410006196XzbMath0552.55008OpenAlexW2018781236MaRDI QIDQ3345443

Donald M. Davis, Mark E. Mahowald

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1017/s030500410006196x

zbMATH Keywords

Segal conjectureBrown-Peterson homologyreal connective K-theoryinfinite wedge sum of suspensions of 2-adically completed Eilenberg McLane spectrainverse limit spectrumWilson's spectrumWu-classes

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Stable homotopy theory, spectra (55P42) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Homotopy groups of wedges, joins, and simple spaces (55Q20)

Related Items (11)

On the Tate spectrum of tmf at the prime 2 ⋮ The Tate spectrum \(v_ n\)-periodic complex oriented theories ⋮ On the KO_ℤ/2-Euler class, II ⋮ Real connective K-theory and the quaternion group ⋮ Tate cohomology of connected k-theory for elementary abelian groups revisited ⋮ The motivic Mahowald invariant ⋮ The cohomology of \(C_2\)-equivariant \(\mathcal{A} (1)\) and the homotopy of \(\operatorname{ko}_{C_2} \) ⋮ Root invariants in the Adams spectral sequence ⋮ Completions of Z\(/(p)\)-Tate cohomology of periodic spectra ⋮ \(\mathrm{tmf}\)-based Mahowald invariants ⋮ Tate blueshift and vanishing for real oriented cohomology theories

Cites Work

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• The localization of spectra with respect to homology
• Projective dimension and Brown-Peterson homology
• The image of J in the EHP sequence
• Clifford modules
• A Note on the Thom Isomorphism
• The Stable Geometric Dimension of Vector Bundles Over Real Projective Spaces
• OPERATIONS WHICH DETECT Sq⁴ IN CONNECTIVE K-THEORY AND THEIR APPLICATIONS
• On the cohomology of 𝑀𝑂⟨8⟩
• GENERALIZED HOMOLOGY AND THE GENERALIZED VECTOR FIELD PROBLEM
• THE NONIMMERSION PROBLEM FOR RP ⁿ AND HIGHER-ORDER COHOMOLOGY OPERATIONS
• Applications of the transfer to stable homotopy theory

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