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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeNov 11th 2009
   • PermaLink
   Author: Urs
   Format: Markdownadded reference to [[derived category]]

   added reference to derived category

2. • CommentRowNumber2.
   • CommentAuthoradeelkh
   • CommentTimeMar 23rd 2013
   • PermaLink
   Author: adeelkh
   Format: MarkdownI 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.

   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.

3. • CommentRowNumber3.
   • CommentAuthoradeelkh
   • CommentTimeJan 17th 2015
   • PermaLink
   Author: adeelkh
   Format: MarkdownItexSome light editing to the introductions of [[derived category]] and [[homological algebra]].

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

4. • CommentRowNumber4.
   • CommentAuthorDmitri Pavlov
   • CommentTimeApr 27th 2020
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexRedirects. <a href="https://ncatlab.org/nlab/revision/diff/derived+category/28">diff</a>, <a href="https://ncatlab.org/nlab/revision/derived+category/28">v28</a>, <a href="https://ncatlab.org/nlab/show/derived+category">current</a>

   Redirects.

   diff, v28, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeApr 7th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexThe first paragraph of the Idea-section used to claim that > By the [[stable Dold-Kan correspondence]], &lbrack;the derived category of an abelian category&rbrack; 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 $\mathcal{A} \simeq$ [[Mod|$R Mod$]] (cf. the [[Freyd-Mitchell embedding theorem]]), the [[stable Dold-Kan correspondence]] says that the derived $\infty$-category of $\mathcal{A}$ is equivalently the [[stable (infinity,1)-category of spectra|stable $\infty$-category of]] [[Eilenberg-MacLane spectrum|$H R$]]-[[module spectra]]. <a href="https://ncatlab.org/nlab/revision/diff/derived+category/31">diff</a>, <a href="https://ncatlab.org/nlab/revision/derived+category/31">v31</a>, <a href="https://ncatlab.org/nlab/show/derived+category">current</a>

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

   diff, v31, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeApr 7th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Sergei Gelfand]], [[Yuri Manin]], Section III of: *[[Methods of homological algebra]]*, transl. from the 1988 Russian (Nauka Publ.) original, Springer (1996, 2002) &lbrack;[doi:10.1007/978-3-662-12492-5](https://doi.org/10.1007/978-3-662-12492-5)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/derived+category/31">diff</a>, <a href="https://ncatlab.org/nlab/revision/derived+category/31">v31</a>, <a href="https://ncatlab.org/nlab/show/derived+category">current</a>

   added pointer to:

   • Sergei Gelfand, Yuri Manin, Section III of: Methods of homological algebra, transl. from the 1988 Russian (Nauka Publ.) original, Springer (1996, 2002) [doi:10.1007/978-3-662-12492-5]

   diff, v31, current

7. • CommentRowNumber7.
   • CommentAuthorperezl.alonso
   • CommentTimeJan 31st 2024
   • PermaLink
   Author: perezl.alonso
   Format: MarkdownItexfixed reference: * Theo B&#252;hler, _An introduction to the derived category_ ([pdf](https://ncatlab.org/nlab/files/intro-derived.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](https://web.archive.org/web/20150701090745/http://www.uni-math.gwdg.de/theo/intro-derived.pdf) instead) <a href="https://ncatlab.org/nlab/revision/diff/derived+category/33">diff</a>, <a href="https://ncatlab.org/nlab/revision/derived+category/33">v33</a>, <a href="https://ncatlab.org/nlab/show/derived+category">current</a>

   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

8. • CommentRowNumber8.
   • CommentAuthorUrs
   • CommentTimeJan 31st 2024
   • PermaLink
   Author: Urs
   Format: MarkdownItexGood, thanks. Uploading files worth retaining is better than pointing to external repositories for which we have no guarantee that they will last.

   Good, thanks.

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