Algebraic 𝐾-theory via binary complexes

DOI10.1090/S0894-0347-2012-00743-7zbMath1276.19003OpenAlexW2123580222MaRDI QIDQ5326485

Daniel R. Grayson

Publication date: 6 August 2013

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0894-0347-2012-00743-7

zbMATH Keywords

algebraic \(K\)-theoryexact categories\(K\)-spectrumbinary complexes\(n\)-loop spectrumThomanson cofinality theorem

Mathematics Subject Classification ID

Abelian categories, Grothendieck categories (18E10) Higher algebraic (K)-theory (19D99)

Related Items (8)

Lambda module structure on higher \(K\)-groups ⋮ Unnamed Item ⋮ On the relative \(K\)-group in the ETNC. II ⋮ Unstable operations on \(K\)-theory for singular schemes ⋮ Addendum to: ``Finite decomposition complexity and the integral Novikov conjecture for higher algebraic \(K\)-theory ⋮ Two formulae for exterior power operations on higher \(K\)-groups ⋮ Shortening binary complexes and commutativity of K-theory with infinite products ⋮ Exterior power operations on higher \(K\)-groups via binary complexes

Cites Work

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• Exact sequences in algebraic K-theory
• Localization for flat modules in algebraic K-theory
• Adams operations on higher \(K\)-theory
• \(K_1\) by generators and relations
• On \(K_ 1\) of an abelian category
• On \(K_1\) of an exact category
• Double short exact sequences and \(K_1\) of an exact category
• Weight filtrations via commuting automorphisms
• Higher Algebraic K-Theory (After Quillen, Thomason and Others)
• Higher algebraic K-theory: I
• Introduction to Algebraic K-Theory. (AM-72)

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