The Stacks project

Remark 63.6.1. Notes on derived categories.

  1. There are some set-theoretical problems when $\mathcal{A}$ is somewhat arbitrary, which we will happily disregard.

  2. The categories $K(A)$ and $D(A)$ are endowed with the structure of a triangulated category.

  3. The categories $\text{Comp}(\mathcal{A})$ and $K(\mathcal{A})$ can also be defined when $\mathcal{A}$ is an additive category.


Comments (2)

Comment #3277 by Dario WeiƟmann on

Typo: the structure of (a) triangulated category

There are also:

  • 4 comment(s) on Section 63.6: Derived categories

Post a comment

Your email address will not be published. Required fields are marked.

In your comment you can use Markdown and LaTeX style mathematics (enclose it like $\pi$). A preview option is available if you wish to see how it works out (just click on the eye in the toolbar).

Unfortunately JavaScript is disabled in your browser, so the comment preview function will not work.

All contributions are licensed under the GNU Free Documentation License.




In order to prevent bots from posting comments, we would like you to prove that you are human. You can do this by filling in the name of the current tag in the following input field. As a reminder, this is tag 03T4. Beware of the difference between the letter 'O' and the digit '0'.