Postnikov towers, k-invariants and obstruction theory for DG categories

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dc.creatorTabuada, Goncalo
dc.date2008-05-29
dc.date.accessioned2026-07-07T09:41:33Z
dc.date.available2026-07-07T09:41:33Z
dc.descriptionBy inspiring ourselves in Drinfeld's DG quotient, we develop Postnikov towers, k-invariants and an obstruction theory for dg categories. As an application, we obtain the following `rigidification' theorem: let A be a homologically connective dg category and F:B -> H0(A) a dg functor to its homotopy category. If the family of obstruction classes vanishes, then a lift for F exists.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/0805.4483
dc.identifierhttp://arxiv.org/abs/0805.4483
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161868
dc.subjectK-Theory and Homology
dc.subjectAlgebraic Topology
dc.subject55S45, 55S35 (Primary); 18G55, 18D20 (Secondary)
dc.titlePostnikov towers, k-invariants and obstruction theory for DG categories
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