Localizations as idempotent approximations to completions

DOI10.1016/S0022-4049(98)00074-7zbMath0931.18005OpenAlexW2038487472WikidataQ127956981 ScholiaQ127956981MaRDI QIDQ1805914

Carles Casacuberta, Armin Frei

Publication date: 29 February 2000

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

Full work available at URL: https://doi.org/10.1016/s0022-4049(98)00074-7

zbMATH Keywords

completionlocalizationidempotent monadBousfield-Kan completion functorhomotopes classes of mapsidempotent approximationpointed \(CW\)-complexes

Mathematics Subject Classification ID

Categories admitting limits (complete categories), functors preserving limits, completions (18A35) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) Localization of categories, calculus of fractions (18E35)

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Idempotent monads and \(\star \)-functors, Chromatic completion, The monadic tower for \(\infty\)-categories