Localization with respect to K-theory

DOI10.1016/0022-4049(77)90023-8zbMath0369.55001OpenAlexW2076482897MaRDI QIDQ1243920

Guido Mislin

Publication date: 1978

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(77)90023-8

Mathematics Subject Classification ID

Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Homotopy groups, general; sets of homotopy classes (55Q05) Homotopy theory (55P99) Topological (K)-theory (55N15)

Related Items

\(p\)-hyperbolicity of homotopy groups via \(K\)-theory ⋮ Kunneth theorems and unstable operations in 2-adic KO-cohomology ⋮ The smooth Whitehead spectrum of a point at odd regular primes ⋮ Comparing localizations across adjunctions ⋮ Nilpotent \(p\)-local finite groups. ⋮ A homotopy idempotent construction by means of simplicial groups ⋮ Cosimplicial resolutions and homotopy spectral sequences in model categories ⋮ Localization and Periodicity in Unstable Homotopy Theory ⋮ Complex and real K-theory and localization ⋮ Generalized plus-constructions and fundamental groups ⋮ Postnikov pieces and 𝐵ℤ/𝕡-homotopy theory ⋮ Cellular approximations of infinite loop spaces ⋮ Central extensions and generalized plus-constructions

Cites Work

• Unnamed Item
• Unnamed Item
• Cohomology theories and infinite CW-complexes
• The localization of spaces with respect to homology
• A long homology localization tower
• An arithmetic square for virtually nilpotent spaces
• The K-theory of some more well-known spaces
• Complex and real K-theory and localization
• A note on complex K-theory of infinite CW-complexes
• On the groups \(J(X)\). IV
• A spectral sequence associated with a cohomology theory of infinite CW- complexes
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• Remarkable squares of homotopy types