Reference for model structure on CosimplicialAbelianGroups - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-21T07:29:02Z http://mathoverflow.net/feeds/question/36974 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/36974/reference-for-model-structure-on-cosimplicialabeliangroups Reference for model structure on CosimplicialAbelianGroups Urs Schreiber 2010-08-28T15:44:54Z 2010-08-28T15:46:26Z <p>There is a standard (simplicial) model category structure on the category $Ab^\Delta \simeq Ch^\bullet_+(Ab)$ of <em>co</em>-simplicial abelian groups, whose fibrations are the <em>degreewise surjections</em> (and weak equivalences are the usual quasi-isos).</p> <p>My question is about proper attribution: where does this first appear in citable form?. What is the canonical reference you would cite?</p>