K -Localizations and K -Equivalences of Infinite Loop Spaces

DOI10.1112/plms/s3-44.2.291zbMath0511.55007OpenAlexW2082982564MaRDI QIDQ4748813

A. K. Bousfield

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1112/plms/s3-44.2.291

zbMATH Keywords

infinite loop spaceslocalization functorlocalization of spectralocalization with respect to generalized homology

Mathematics Subject Classification ID

Localization and completion in homotopy theory (55P60) Stable homotopy theory, spectra (55P42) Infinite loop spaces (55P47)

Related Items (14)

Localization of André-Quillen-Goodwillie towers, and the periodic homology of infinite loopspaces ⋮ Suspension Spectra and Homology Equivalences ⋮ Algebraic $K$-theory and etale cohomology ⋮ On \(\lambda\)-rings and the \(K\)-theory of infinite loop spaces ⋮ Higher homotopies of natural constructions ⋮ Twisted Morava \(K\)-theory and connective covers of Lie groups ⋮ Some rational homology computations for diffeomorphisms of odd‐dimensional manifolds ⋮ On the telescopic homotopy theory of spaces ⋮ Loop structures in Taylor towers ⋮ The $L_2$-localization of $W(n)$ ⋮ Localization and Periodicity in Unstable Homotopy Theory ⋮ On \(p\)-adic \(\lambda\)-rings and the \(K\)-theory of \(H\)-spaces ⋮ Freudenthal's theorem and spherical classes in H_*QS⁰ ⋮ Comparison of equivariant algebraic and topological K-theory

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