An algebraization of vector bundles on compact manifolds

DOI10.1016/0022-4049(72)90002-3zbMath0236.55016OpenAlexW1991526886MaRDI QIDQ2552332

Knud Lønsted

Publication date: 1972

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(72)90002-3

Mathematics Subject Classification ID

Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) General theory of differentiable manifolds (58A99) Topological (K)-theory (55N15) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Related Items (9)

Unnamed Item ⋮ Piecewise-regular maps ⋮ Topological Examples of Projective Modules ⋮ Real algebraic geometry and the 17th Hilbert problem ⋮ Unnamed Item ⋮ Algebraic Fiber Bundles ⋮ lambda-rings and algebraic K-theory ⋮ Vector bundles and K-theory over topological algebras ⋮ Modules projectifs sur les anneaux de fonctions

Cites Work

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• Analytische Faserungen über holomorph-vollständigen Räumen
• On periodic points
• Generalizations of the notion of class group
• Points de platitude d'un morphisme d'espaces analytiques complexes
• Algebraic vector bundles on projective space
• Anneaux locaux henséliens
• Projective modules over certain rings of quotients of affine rings
• Real algebraic manifolds
• Variétés analytiques réelles et variétés analytiques complexes
• Vector Bundles and Projective Modules
• Projective Modules as Fiber Bundles
• Vector bundles over spheres are algebraic

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