From 𝐾(𝑛+1)_{*}(𝑋) to 𝐾(𝑛)_{*}(𝑋)

DOI10.1090/S0002-9939-01-06374-2zbMath0994.55005OpenAlexW1541859554MaRDI QIDQ2781319

Norihiko Minami

Publication date: 19 March 2002

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06374-2

zbMATH Keywords

classifying spaceMorava \(K\)-theoryBrown-Peterson cohomologyunstable homotopy theorychromatic homotopy theory

Mathematics Subject Classification ID

Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Topological (K)-theory (55N15) (v_n)-periodicity (55Q51)

Related Items (1)

Brown–Peterson cohomology from Morava -theory

Cites Work

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• Projective dimension of Brown-Peterson homology with modulo \((p,v_1,\dots,v_{n-1})\) coefficients
• Brown-Peterson cohomology from Morava \(K\)-theory
• Morava \(K\)-theory of classifying spaces: Some calculations
• Odd-degree elements in the Morava \(K(n)\) cohomology of finite groups
• Cohomological Bousfield classes
• The exact functor theorem for ${BP_* }/ {I_n }$-theory
• On the chromatic tower

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