Topological equivalences for differential graded algebras

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dc.creatorDugger, Daniel
dc.creatorShipley, Brooke
dc.date2006-04-11
dc.date2006-08-18
dc.date.accessioned2026-07-07T07:10:47Z
dc.date.available2026-07-07T07:10:47Z
dc.descriptionWe investigate the relationship between differential graded algebras (dgas) and topological ring spectra. Every dga C gives rise to an Eilenberg-Mac Lane ring spectrum denoted HC. If HC and HD are weakly equivalent, then we say C and D are topologically equivalent. Quasi-isomorphic dgas are topologically equivalent, but we produce explicit counter-examples of the converse. We also develop an associated notion of topological Morita equivalence using a homotopical version of tilting.
dc.descriptionMinor revisions
dc.identifierhttps://arxiv.org/abs/math/0604259
dc.identifierhttp://arxiv.org/abs/math/0604259
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111532
dc.subjectAlgebraic Topology
dc.subject55U99, 55P43, 18G55
dc.titleTopological equivalences for differential graded algebras
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