Opérations d'Adams en K-homologie et applications

DOI10.24033/bsmf.1940zbMath0472.55013OpenAlexW2583364910MaRDI QIDQ3925550

Lionel Schwartz

Publication date: 1981

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1981__109__237_0

zbMATH Keywords

stable homotopy of infinite complex projective spaceactions of the Adams operations on complex K-homology theory of infinite complex projective spacealgebraic K-theory spectrum of finite field

Mathematics Subject Classification ID

Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Topological (K)-theory (55N15) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Stable homotopy groups (55Q10) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25)

Related Items (12)

Extensions of umbral calculus: Penumbral coalgebras and generalized Bernoulli numbers ⋮ Infinite sums of unstable Adams operations and cobordism ⋮ Algebraic properties of stably numerical polynomials ⋮ On the iterated complex transfer ⋮ On the mod p J-homology of complex projective space ⋮ Stable Homotopy Theory, Formal Group Laws, and Integer-Valued Polynomials ⋮ Quelques éléments dans l'homotopie stable du groupe unitaire ⋮ Integer-valued polynomials and $K$-theory operations ⋮ Construction d'éléments dans $\pi^S_*(BU(2))$ ⋮ Une remarque sur les générateurs du cobordisme complexe. (Some remarks on the generators of the complex bordism group) ⋮ Modular representations of \(GL(n,p)\), splitting \(\Sigma(CP^{\infty} \times \dots \times CP^{\infty})\) and the \(\beta\)-family as framed hypersurfaces ⋮ K-théorie des corps finis et homotopie stable du classifiant d'un groupe de Lie

Cites Work

• Multiplicative structures in mod q cohomology theories. I
• Some stable homotopy of complex projective space
• Algebraic cobordism and 𝐾-theory
• Hopf Algebras of Cooperations for Real and Complex K -Theory
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