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nLab > Latest Changes: enhanced triangulated category

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJan 11th 2019
    • (edited Jan 11th 2019)

    there were no references here. I have added one:

    diff, v16, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeSep 17th 2021

    added pointer to the newly recovered note:

    diff, v18, current

    • CommentRowNumber3.
    • CommentAuthorzskoda
    • CommentTimeSep 17th 2022

    I do not understand the qualifier “in increasing information” from pretriangulated dg-categories or pretriangulated A-∞-categories to stable (∞, 1)-categories. Isn’t it that in characteristic 0, pretriangulated dg-categories correspond to a full (infinity,1)-subcategory of all stable (infinity,1)-categories ? I do not see any lost information.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeSep 17th 2022

    You are probably referring to the sentence here. That sentence, together with the paragraph around it, seems to have been added by Adeel in rev 15 (Aug 2014).

    I suppose that the “increasing information” in this list refers to how the hom-∞\infty-groupoids become more and more explicit as one proceeds down the list.

    Since the hom-∞\infty-groupoids is the enhancement that give the notion of enhanced triangulated categories its name, it makes good sense to bring this out. But there is certainly room for adding further clarification on this point to the entyr.

    • CommentRowNumber5.
    • CommentAuthorzskoda
    • CommentTimeSep 18th 2022

    Yes, it is that sentence. Thanks. Though I should admit I did not fully understand the rest of your answer.

1 to 5 of 5

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