Detecting stable homotopy classes by primary BP cohomology operations

DOI10.1007/BF01187967zbMath0274.55003OpenAlexW2065723719MaRDI QIDQ2265226

Raphael S. Zahler, Larry Smith

Publication date: 1972

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/171825

Mathematics Subject Classification ID

Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Homotopy groups of spheres (55Q40)

Related Items (6)

BP operations and Morava's extraordinary K-theories ⋮ Existence of the stable homotopy family {𝛾_{𝑡}} ⋮ Generalized higher order cohomology operations and stable homotopy groups of spheres ⋮ Cobordisms in problems of algebraic topology ⋮ Generalized higher order cohomology operations induced by the diagonal mapping ⋮ Nontriviality of the stable homotopy element \(\gamma_1\)

Cites Work

• On the groups \(J(X)\). IV
• On the structure of Hopf algebras
• A spectrum whose \(Z_ p\) cohomology is the algebra of reduced \(p\)-th powers
• On the complex bordism of finite complexes
• The Adams e-homomorphism and non-stable homotopy groups
• The Adams-Novikov spectral sequence for the spheres
• $p$-primary components of homotopy groups IV. Compositions and toric constructions
• DETECTING STABLE HOMOTOPY WITH SECONDARY COBORDISM OPERATIONS, I
• THE METHODS OF ALGEBRAIC TOPOLOGY FROM THE VIEWPOINT OF COBORDISM THEORY
• On the formal group laws of unoriented and complex cobordism theory
• On Realizing Complex Bordism Modules: Applications to the Stable Homotopy of Spheres
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