A splitting theorem for certain cohomology theories associated to BP*(-)

DOI10.1007/BF01309315zbMath0449.55008OpenAlexW1998985296MaRDI QIDQ1147400

Urs Würgler

Publication date: 1979

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154654

zbMATH Keywords

Morava K-theoriescohomology theories associated to Brown-Peterson cohomology for an odd primeformal groups of finite height

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) Complex cobordism ((mathrm{U})- and (mathrm{SU})-cobordism) (57R77) Topological (K)-theory (55N15)

Related Items

A note on the algebra \(P(n)_*(P(n))\) for the prime 2, A note on the algebra \(P(n)_ *(P(n))\) for the prime 2, Cohomological Bousfield classes, Liftings of formal groups and the Artinian completion of BP, On a class of 2-periodic cohomology theories

Cites Work

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• \(BP_*(BP)\) and typical formal groups
• Cobordism theories of unitary manifolds with singularities and formal group laws
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• Morava stabilizer algebras and the localization of Novikov's \(E_2\)-term
• The Hopf ring for complex cobordism
• On products in a family of cohomology theories associated to the invariant prime ideals of \(\pi_*(BP)\)
• Annihilator ideals and primitive elements in complex bordism
• Homological Properties of Comodules Over MU ∗ (MU) and BP ∗ (BP)
• On the Algebraic Structure of Cobordism Operations with Singularities
• On the formal group laws of unoriented and complex cobordism theory