Brown representability does not come for free

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dc.creatorCasacuberta, Carles
dc.creatorNeeman, Amnon
dc.date2008-07-11
dc.date.accessioned2026-07-07T09:49:52Z
dc.date.available2026-07-07T09:49:52Z
dc.descriptionWe exhibit a triangulated category T having both products and coproducts, and a triangulated subcategory S of T which is both localizing and colocalizing, for which neither a Bousfield localization nor a colocalization exists. It follows that neither the category S nor its dual satisfy Brown representability. Our example involves an abelian category whose derived category does not have small Hom-sets.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/0807.1872
dc.identifierhttp://arxiv.org/abs/0807.1872
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164751
dc.subjectCategory Theory
dc.subjectAlgebraic Topology
dc.subject18E30; 55U35
dc.titleBrown representability does not come for free
dc.typetext

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