Operations in \(A\)-theory

DOI10.1016/S0022-4049(02)00049-XzbMath1027.19003MaRDI QIDQ1855453

Thomas Gunnarsson, Roland Schwaenzl

Publication date: 5 February 2003

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

zbMATH Keywords

algebraic K-theory of spacesA-theoryKahn-Priddy theoreminfinite loop mapSegal operation

Mathematics Subject Classification ID

Abelian categories, Grothendieck categories (18E10) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) (Q)- and plus-constructions (19D06) Algebraic (K)-theory of spaces (19D10) Symmetric monoidal categories (19D23)

Related Items

Segal operations in the algebraic \(K\)-theory of topological spaces ⋮ \(G \)-theory of \(\mathbb F_1\)-algebras I: the equivariant Nishida problem

Cites Work

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• On G-ANR's and their G-homotopy types
• Exterior power operations on higher K-theory
• Equivariant stable homotopy theory. With contributions by J. E. McClure
• Transformation groups
• The loop space of the Q-construction
• Exact sequences in algebraic K-theory
• Pairings of categories and spectra
• An un-delooped version of algebraic \(K\)-theory
• Modules of topological spaces, applications to homotopy limits and \(E_ \infty\) structures
• Some theorems on absolute neighborhood retracts
• Retraction and extension of mappings of metric and nonmetric spaces
• James Maps, Segal Maps, and the Kahn-Priddy Theorem
• Homotopy colimits in the category of small categories
• Basic Constructions in the K-Theory of Homotopy Ring Spaces