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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJan 24th 2010
   • PermaLink
   Author: Urs
   Format: Markdownjotted down quickly the statement of the Schwede-Schipley classification theorem at [[stable model category]].

   jotted down quickly the statement of the Schwede-Schipley classification theorem at stable model category.

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeAug 27th 2012
   • (edited Aug 27th 2012)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have added to _[[stable model category]]_ a brief remark on the result by Schwede-Shipley (2003) that they are all equivalent (by a zig-zag of Quillen equivalences) to model categories of module spectra over some ring spectrum. Hence to model structures of unbounded chain complexes if that ring spectrum is an Eilenberg-MacLane spectrum. (Somehow the ultimate form of the stable-Dold-Kan correspondence.)

   I have added to stable model category a brief remark on the result by Schwede-Shipley (2003) that they are all equivalent (by a zig-zag of Quillen equivalences) to model categories of module spectra over some ring spectrum. Hence to model structures of unbounded chain complexes if that ring spectrum is an Eilenberg-MacLane spectrum.

   (Somehow the ultimate form of the stable-Dold-Kan correspondence.)

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeApr 20th 2016
   • (edited Apr 20th 2016)
   • PermaLink
   Author: Urs
   Format: MarkdownItexneither the entry _[[stable model category]]_ nor _[[triangulated category]]_ used to have any mentioning that the homotopy category of a stable model category is canonically triangulated. I have added bare minimum paragraphs on this now. To be expanded.

   neither the entry stable model category nor triangulated category used to have any mentioning that the homotopy category of a stable model category is canonically triangulated. I have added bare minimum paragraphs on this now. To be expanded.