On Homology Equivalences and Homological Localizations of Spaces

DOI10.2307/2374082zbMath0505.55013OpenAlexW2095044666MaRDI QIDQ4741991

A. K. Bousfield

Publication date: 1982

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374082

zbMATH Keywords

generalized homology theorylocalization with respect to homologynon-connective homology theoriesgeneralized cohomology of Eilenberg-MacLane spaces

Mathematics Subject Classification ID

Localization and completion in homotopy theory (55P60) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Eilenberg-Mac Lane spaces (55P20) Topological (K)-theory (55N15)

Related Items (11)

Localization of André-Quillen-Goodwillie towers, and the periodic homology of infinite loopspaces ⋮ Suspension Spectra and Homology Equivalences ⋮ Ambidexterity in chromatic homotopy theory ⋮ On the telescopic homotopy theory of spaces ⋮ Group cohomology and control of \(p\)-fusion. ⋮ Homological localizations of Eilenberg–MacLane spectra ⋮ Homotopical localizations of module spectra ⋮ A Whitehead theorem for periodic homotopy groups ⋮ Models for torsion homotopy types ⋮ Generalized plus-constructions and fundamental groups ⋮ Central extensions and generalized plus-constructions

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