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nLab > Latest Changes: Bousfield localization of triangulated categories

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeNov 24th 2009
    • (edited Nov 24th 2009)

    I split the material so far at "Bousfield localization" into

    and made Bousfield localization itself a dismbiguation page.

    Then I edited Bousfield localization of triangulated categories a bit and added some references.

    I expect it should be true that the (left) Bousfield localization of a model category whose homotopy category is a triangulated category corresponds to the Bousfield localization of that triangulated homotopy category, but I don't discuss a statement to that extent yet.

    I'd be grateful for explicit pointers to the literature on this. I haven't had time yet to look much even at the literature that I do list as BLoc for triang cats. Am too busy at the moment with BLoc for mod cats.

    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeNov 25th 2009

    I would expect that every Bousfield localization above does induce a Bousfield loc in triangulated case, but maybe there are localizations downstairs which are not liftable. But my knowledge about the subject is close to zero.

  3. Right now the page is incorrect, if you divide by a nonthick you either not get a stable category, or you essentially take the thickening.

    omer bojan

    diff, v9, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeFeb 28th 2024

    Could you be more specific – the entry does require thickness.

1 to 4 of 4

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