Differential graded versus Simplicial categories

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dc.creatorTabuada, Goncalo
dc.date2007-11-24
dc.date.accessioned2026-07-07T08:44:51Z
dc.date.available2026-07-07T08:44:51Z
dc.descriptionWe construct a zig-zag of Quillen adjunctions between the homotopy theories of differential graded and simplicial categories. In an intermediate step we generalize Shipley-Schwede's work on connective DG algebras by extending the Dold-Kan correspondence to a Quillen equivalence between categories enriched over positive graded chain complexes and simplicial k-modules. As an application we obtain a conceptual explanation of Simpson's homotopy fiber construction.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/0711.3845
dc.identifierhttp://arxiv.org/abs/0711.3845
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142805
dc.subjectK-Theory and Homology
dc.subjectAlgebraic Topology
dc.subject18D20, 18D10, 18G55
dc.titleDifferential graded versus Simplicial categories
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