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Jul 23, 2018 at 9:29 comment added D.-C. Cisinski A possible reference consists to put together Cor. 7.3.10 and Prop. 7.1.12 from my lecture notes "Higher categories and homotopical algebra" (available from my webpage). But there are probably much older references.
Jul 23, 2018 at 7:56 comment added Philippe Gaucher @Denis-CharlesCisinski A reference please would be welcome. And I think that your comment is an answer.
Jul 22, 2018 at 21:01 comment added D.-C. Cisinski Any small category is a localization of a direct (whence Reedy) category. Therefore, it follows straight away from Dugger’s theorem that any combinatorial model structure is Quillen equivalent to a localization of a Reedy model structure on simplicial presheaves on a small direct category.
Jul 22, 2018 at 18:10 history asked Harry Gindi CC BY-SA 4.0