Topological equivalences for differential graded algebras

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We 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.
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Algebraic Topology, 55U99, 55P43, 18G55

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http://salesiana.dossiersoluciones.com/handle/123456789/111532

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604259
 http://arxiv.org/abs/math/0604259

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arXiv