Polynomial operations on stable cohomotopy

DOI10.1007/BF02568437zbMath0708.55016OpenAlexW2040432070MaRDI QIDQ920434

Ernesto Vallejo

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/155504

zbMATH Keywords

transferscharacteristic classesK-theoryBurnside ringsymmetric powersfinite coveringspolynomial operationsstable cohomotopy groupunstable operations

Mathematics Subject Classification ID

Localization and completion in homotopy theory (55P60) Stable homotopy theory, spectra (55P42) Operations and obstructions in algebraic topology (55S99)

Related Items (3)

\(G_\infty\)-ring spectra and Moore spectra for \(\beta\)-rings ⋮ Polynomial operations from Burnside rings to representation functors ⋮ Polynomial operations on complex K-theory

Cites Work

• The Burnside ring of the infinite cyclic group and its relations to the necklace algebra, \(\lambda\)-rings, and the universal ring of Witt vectors
• The Burnside ring of profinite groups and the Witt vector construction
• Construction of universal bundles. II
• Characters and cohomology of finite groups
• Polynomial operations from Burnside rings to representation functors
• Equivariant stable homotopy and Segal's Burnside ring conjecture
• Categories and cohomology theories
• Polynomial maps on groups
• K-theory of non-additive functors of finite degree
• Axiomatic representation threory for finite groups
• On the groups \(H(\Pi,n)\). II
• James Maps, Segal Maps, and the Kahn-Priddy Theorem
• Characteristic classes for permutation representations
• Characteristic Classes. (AM-76)
• On the Burnside ring and stable cohomotopy of a finite group.
• Infinite Loop Spaces (AM-90)
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