The Brown-Peterson homology of the classifying spaces \(BO\) and \(BO(n)\)

DOI10.1016/0022-4049(94)00083-UzbMath0841.55011OpenAlexW2014686858MaRDI QIDQ1901009

Dung Yung Yan

Publication date: 3 December 1995

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(94)00083-u

zbMATH Keywords

Adams spectral sequencedual Steenrod algebra

Mathematics Subject Classification ID

Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Homology and homotopy of (Bmathrm{O}) and (Bmathrm{U}); Bott periodicity (55R45)

Cites Work

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• Nilpotence and stable homotopy theory. I
• Periodic phenomena in the Adams-Novikov spectral sequence
• Homology comodules
• On 𝜋^{𝑆}_{*}(𝐵𝑂) and the Arf invariant of framed manifolds
• The Complex Cobordism of BO _n
• The Brown-Peterson Homology of Elementary p-Groups
• The homology and Morava K-theory of Ω 2 SU(n)
• Yoneda Products in the Cartan-Eilenberg Change of Rings Spectral Sequence With Applications to BP ∗ (BO(n))
• Towards 𝐵𝑃_{*}𝑋

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