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Spectral enrichments of model categories | Daniel Dugger
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1 Feb 2005 | Subject: | Algebraic Topology; Category Theory | math.AT math.CT | Abstract: | We 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. | Source: | arXiv, math.AT/0502006 | Services: | Forum | Review | PDF | Favorites |
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