On relations between Brown-Peterson cohomology and the ordinary mod p cohomology theory

DOI10.2996/kmj/1138036912zbMath0563.55016OpenAlexW2063770886MaRDI QIDQ1057541

Nobuaki Yagita

Publication date: 1984

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138036912

zbMATH Keywords

Atiyah-Hirzebruch spectral sequenceEilenberg-MacLane spectrummanifolds with singularitiesMilnor operationp-local Brown-Peterson spectrum

Mathematics Subject Classification ID

(H)-spaces and duals (55P45) Stable homotopy theory, spectra (55P42) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Eilenberg-Mac Lane spaces (55P20) Generalized cohomology and spectral sequences in algebraic topology (55T25) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25)

Related Items (5)

Transfers of Chern classes in BP-cohomology and Chow rings ⋮ Brown-Peterson and Ordinary Cohomology Theories of Classifying Spaces for Compact Lie Groups ⋮ Equivariant BP-Cohomology for Finite Groups ⋮ Examples for the mod 𝑝 motivic cohomology of classifying spaces ⋮ Spectra of 𝐵𝑃-linear relations, 𝑣_{𝑛}-series, and 𝐵𝑃 cohomology of Eilenberg-Mac Lane spaces

Cites Work

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• Brown-Peterson cohomology groups of exceptional Lie groups
• Elementary proofs of some results of cobordism theory using Steenrod operations
• On spectra realizing exterior parts of the Steenrod algebra
• The Morava K-Theories of Eilenberg-MacLane Spaces and the Conner-Floyd Conjecture
• BP Torsion in Finite H-Spaces
• The Ω-Spectrum for Brown-Peterson Cohomology Part II
• On the Algebraic Structure of Cobordism Operations with Singularities
• On Bordism Theory of Manifolds with Singularities.
• On Realizing Complex Bordism Modules: Applications to the Stable Homotopy of Spheres
• On Differential Hopf Algebras

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