Comparing localizations across adjunctions

We show that several apparently unrelated formulas involving left or right Bousfield localizations in homotopy theory are induced by comparison maps associated with pairs of adjoint functors. Such comparison maps are used in the article to discuss the existence of functorial liftings of homotopical...

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Veröffentlicht in:Transactions of the American Mathematical Society 2021-08, Vol.374 (11), p.7811-7865
Hauptverfasser: Casacuberta, Carles, Raventós, Oriol, Tonks, Andrew
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Sprache:eng
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