%0 Journal Article
%T Spectral enrichments of model categories
%A Daniel Dugger
%J Mathematics
%D 2005
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0502006v1