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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeNov 11th 2009

    added reference to derived category

    • CommentRowNumber2.
    • CommentAuthoradeelkh
    • CommentTimeMar 23rd 2013

    I added the original reference to Verdier's thesis (also created a page for him), and some references for applications of derived categories in algebraic geometry. At some point I plan to make a separate page for this and I will then move these references there.

    • CommentRowNumber3.
    • CommentAuthoradeelkh
    • CommentTimeJan 17th 2015

    Some light editing to the introductions of derived category and homological algebra.

    • CommentRowNumber4.
    • CommentAuthorDmitri Pavlov
    • CommentTimeApr 27th 2020


    diff, v28, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeApr 7th 2023

    The first paragraph of the Idea-section used to claim that

    By the stable Dold-Kan correspondence, [the derived category of an abelian category] may be viewed as a linearization of the stable (infinity,1)-category of spectra.

    Since this didn’t quite make sense as stated(?), I have adjusted this as follows:

    In the case that 𝒜\mathcal{A} \simeq RModR Mod (cf. the Freyd-Mitchell embedding theorem), the stable Dold-Kan correspondence says that the derived \infty-category of 𝒜\mathcal{A} is equivalently the stable \infty-category of HRH R-module spectra.

    diff, v31, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeApr 7th 2023

    added pointer to:

    diff, v31, current

    • CommentRowNumber7.
    • CommentAuthorperezl.alonso
    • CommentTimeJan 31st 2024

    fixed reference:

    • Theo Bühler, An introduction to the derived category (pdf).

    (I uploaded the file given that the previous link was broken, I’m however unsure whether this is technically allowed, or whether I should only redirect to here instead)

    diff, v33, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeJan 31st 2024

    Good, thanks.

    Uploading files worth retaining is better than pointing to external repositories for which we have no guarantee that they will last.