Homotopy limits, completions and localizations. (English) Zbl 0259.55004

Lecture Notes in Mathematics. 304. Berlin-Heidelberg-New York: Springer-Verlag. V,348 p. DM 26.00; $ 8.30 (1972).


55P99 Homotopy theory
55-02 Research exposition (monographs, survey articles) pertaining to algebraic topology
18A30 Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.)
18A35 Categories admitting limits (complete categories), functors preserving limits, completions
55P05 Homotopy extension properties, cofibrations in algebraic topology
55P10 Homotopy equivalences in algebraic topology
55T99 Spectral sequences in algebraic topology
18G10 Resolutions; derived functors (category-theoretic aspects)
20D15 Finite nilpotent groups, \(p\)-groups
20E18 Limits, profinite groups