Spectral enrichments of model categories

dc.creatorDugger, Daniel
dc.date2005-02-01
dc.date.accessioned2026-07-07T05:16:34Z
dc.date.available2026-07-07T05:16:34Z
dc.descriptionWe prove that every stable, combinatorial model category has a natural enrichment by symmetric spectra (or more precisely, a natural equivalence class of enrichments). This in some sense generalizes the simplicial enrichments of model categories provided by the Dwyer-Kan hammock localization. As one particular application, we are able to associate to every object of a stable, combinatorial model category a "homotopy endomorphism ring spectrum". The homotopy types of these ring spectra are preserved by Quillen equivalences, and so are an invariant for stable model categories.
dc.identifierhttps://arxiv.org/abs/math/0502006
dc.identifierhttp://arxiv.org/abs/math/0502006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74031
dc.subjectAlgebraic Topology
dc.subjectCategory Theory
dc.titleSpectral enrichments of model categories
dc.typetext

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