Rouquier's cocovering theorem and well-generated triangulated categories

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dc.creatorMurfet, Daniel
dc.date2009-04-17
dc.date.accessioned2026-07-07T13:05:40Z
dc.date.available2026-07-07T13:05:40Z
dc.descriptionWe study cocoverings of triangulated categories, in the sense of Rouquier, and prove that for any regular cardinal $α$ the condition of $α$-compactness, in the sense of Neeman, is local with respect to such cocoverings. This was established for ordinary compactness by Rouquier. Our result yields a new technique for proving that a given triangulated category is well-generated. As an application we describe the $α$-compact objects in the unbounded derived category of a quasi-compact semi-separated scheme.
dc.description18 pages, comments welcome
dc.identifierhttps://arxiv.org/abs/0904.2685
dc.identifierhttp://arxiv.org/abs/0904.2685
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227562
dc.subjectCategory Theory
dc.subjectAlgebraic Geometry
dc.titleRouquier's cocovering theorem and well-generated triangulated categories
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