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dc.contributor.authorHaugseng, Rune
dc.date.accessioned2022-03-28T12:59:30Z
dc.date.available2022-03-28T12:59:30Z
dc.date.created2022-01-10T12:21:08Z
dc.date.issued2021
dc.identifier.citationHigher Structures. 2021, 5 (1), 244-281.en_US
dc.identifier.urihttps://hdl.handle.net/11250/2988069
dc.description.abstractWe use the basic expected properties of the Gray tensor product of (∞, 2)-categories to study (co)lax natural transformations. Using results of Riehl–Verity and Zaganidis we identify lax transformations between adjunctions and monads with commutative squares of (monadic) right adjoints. We also identify the colax transformations whose components are equivalences (generalizing the “icons” of Lack) with the 2-morphisms that arise from viewing (∞, 2)-categories as simplicial ∞-categories. Using this characterization we identify the ∞-category of monads on a fixed object and colax morphisms between them with the ∞-category of associative algebras in endomorphisms.en_US
dc.language.isoengen_US
dc.publisherInstitute of Mathematics, Czech Academy of Sciencesen_US
dc.rightsNavngivelse 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.no*
dc.titleOn lax transformations, adjunctions, and monads in (∞,2)-categoriesen_US
dc.typePeer revieweden_US
dc.typeJournal articleen_US
dc.description.versionpublishedVersionen_US
dc.source.pagenumber244-281en_US
dc.source.volume5en_US
dc.source.journalHigher Structuresen_US
dc.source.issue1en_US
dc.identifier.cristin1977453
cristin.ispublishedtrue
cristin.fulltextoriginal
cristin.qualitycode1


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