Subject: response to Goodwillie (for the list) From: "M.A.Mandell" Date: Mon, 18 Sep 2006 09:46:23 -0400 In addition to all the other sources mentioned, Gaunce Lewis and I have an Arxiv preprint math.AT/0606275 that addresses both enriched model categories and enriched derived functors, possibly of many variables. Although the title, introduction, and last two sections focus on the case of module categories, the 5 middle sections are about the general case of model categories enriched over monoidal model categories. Dan Dugger has an Arxiv preprint math.AT/0502006 that explores enrichments much more general than the analog of Quillen's axioms of a simplicial model category. For example, the Dwyer-Kan simplicial localization (applied to a model category) fits into the framework he describes there. M.