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DC Field | Value | Language |
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dc.contributor.author | Casacuberta, Carles | - |
dc.contributor.author | Raventós Morera, Oriol | - |
dc.contributor.author | Tonks, Andrew | - |
dc.date.accessioned | 2022-04-13T10:49:50Z | - |
dc.date.available | 2022-04-13T10:49:50Z | - |
dc.date.issued | 2021-08-18 | - |
dc.identifier.issn | 0002-9947 | - |
dc.identifier.uri | http://hdl.handle.net/2445/184903 | - |
dc.description.abstract | 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 localizations and cellularizations to categories of algebras over monads acting on model categories, with emphasis on the cases of module spectra and algebras over simplicial operads. Some of our results hold for algebras up to homotopy as well; for example, if $T$ is the reduced monad associated with a simplicial operad and $f$ is any map of pointed simplicial sets, then $f$-localization coincides with $T f$-localization on spaces underlying homotopy $T$-algebras, and similarly for cellularizations. | - |
dc.format.extent | 55 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | American Mathematical Society (AMS) | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1090/tran/8382 | - |
dc.relation.ispartof | Transactions of the American Mathematical Society, 2021, vol. 374, num. 11, p. 7811-7865 | - |
dc.relation.uri | https://doi.org/10.1090/tran/8382 | - |
dc.rights | cc-by-nc-nd (c) American Mathematical Society (AMS), 2021 | - |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Teoria de l'homotopia | - |
dc.subject.classification | Teoria de functors | - |
dc.subject.classification | Topologia algebraica | - |
dc.subject.other | Homotopy theory | - |
dc.subject.other | Functor theory | - |
dc.subject.other | Algebraic topology | - |
dc.title | Comparing localizations across adjunctions | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 711469 | - |
dc.date.updated | 2022-04-13T10:49:50Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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711469.pdf | 539.89 kB | Adobe PDF | View/Open |
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