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Homotopical resolutions associated to deformable adjunctions. (English) Zbl 1317.55009

Using Garner’s small object argument, new bar and cobar constructions are defined associated to an adjunction between homotopical categories. Applications are given to derived completions and Goodwillie calculus.

MSC:

55U35 Abstract and axiomatic homotopy theory in algebraic topology
18G55 Nonabelian homotopical algebra (MSC2010)
18G10 Resolutions; derived functors (category-theoretic aspects)
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References:

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