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nLab > Latest Changes: additive and abelian categories

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  1. The are several mistakes in AB6 so I just copy the definition in Tohoku paper instead of that.

    C

    diff, v25, current

    • CommentRowNumber2.
    • CommentAuthorelias_guisado
    • CommentTimeJun 5th 2024

    I haven’t ever before edited the nLab (just corrected typos in the past). Please, don’t be mad at me if something is not well typed or doesn’t follow the nLab conventions. I tried to follow what is explained in https://ncatlab.org/nlab/show/HowTo

    If something isn’t right, just correct it and I’ll revisit this page in a couple of days to learn about it :)

    diff, v26, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJun 5th 2024

    Looks good, thanks for contributing!

    The rendering error you ran into is caused by a bug in our software: If the closing tag of a Definition/Theorem/Proof environment follows immediately after an item list, then the page does not render. One needs to introduce a blank line in the code to avoid this.

    (Which isn’t so bad, since such whitespace between code of differing logical nature also helps humans with reading the source, so it’s good style to include it anyways.)

    diff, v27, current

    • CommentRowNumber4.
    • CommentAuthorelias_guisado
    • CommentTimeJun 6th 2024

    Apparently, \varinjlim is not recognised in nLab. I changed it to \underset{\rightarrow}{\lim}

    Also, statement of point 2 was incomplete.

    diff, v28, current

    • CommentRowNumber5.
    • CommentAuthorncfavier
    • CommentTimeJul 21st 2024

    Added a diagram summarising (my understanding of) the relationships between various notions of additive and abelian categories.

    diff, v29, current

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