Detecting algebraic K ‐theory

DOI10.1112/S0025579300012456zbMath0547.18004OpenAlexW2155103742MaRDI QIDQ3338416

Victor P. Snaith

Publication date: 1984

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300012456

zbMATH Keywords

Lichtenbaum-Quillen conjecture\(K_ 2\)Hurewicz mapBott elementalgebraic K-theory of schemeskernel of the localization mapKU-theory

Mathematics Subject Classification ID

Topological (K)-theory (55N15) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Cites Work

• Etale K-theory. I: Connections with etale cohomology and algebraic vector bundles
• Algebraic K-theory eventually surjects onto topological K-theory
• Delooping classifying spaces in algebraic K-theory
• On the cohomology and K-theory of the general linear groups over a finite field
• Localized stable homotopy of some classifying spaces
• Étale $K$-theory and arithmetic

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