Comparing homotopy categories

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dc.creatorBlanc, David
dc.date2006-06-19
dc.date.accessioned2026-07-07T07:17:27Z
dc.date.available2026-07-07T07:17:27Z
dc.descriptionGiven a suitable functor T:C -> D between model categories, we define a long exact sequence relating the homotopy groups of any X in C with those of TX, and use this to describe an obstruction theory for lifting an object G in D to C. Examples include finding spaces with given homology or homotopy groups.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0606458
dc.identifierhttp://arxiv.org/abs/math/0606458
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113943
dc.subjectAlgebraic Topology
dc.subject55U35; 55P65, 55Q35, 18G55
dc.titleComparing homotopy categories
dc.typetext

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