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nLab > Latest Changes: created limit

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeApr 21st 2021
    • (edited Apr 21st 2021)

    Where the example of monadic functors creating limits is mentioned, there should be a reference, at least.

    I have added pointer to MacLane 71, Exercise IV.2.2 (p. 138)

    Scanning through Borceux II, I don’t spot the statement there. (?)

    diff, v13, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeAug 11th 2022
    • (edited Aug 11th 2022)

    added pointer to:

    here, and in related entries

    diff, v16, current

  3. Added the remark that for amnestic isofibrations the strict and the non-strict notion of creation of limits are equivalent.

    Jonas Frey

    diff, v17, current

    • CommentRowNumber4.
    • CommentAuthorjonsterling
    • CommentTimeFeb 12th 2023
    Unless I am confused, my copy of Mac Lane does not in fact require limits that don't exist in the codomain to be created. Mac Lane says:

    > A functor V : A -> X creates limits for a functor F : J -> A if:
    > (i) to every limiting cone \tau : x -> VF in X there is exactly one ......

    So the limiting cone is assumed to exist in the codomain category. So what is going on in this nlab page? Did I misunderstand the discussion?
    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeFeb 12th 2023

    You are probably referring to the subsection here.

    This was added by Mike in revision 11, Feb 2018.

    Interesting to compare to the status of revision 10. Don’t know what happened there.

    • CommentRowNumber6.
    • CommentAuthorvarkor
    • CommentTimeApr 11th 2023

    Mention terminology “closed under limits”.

    diff, v19, current

1 to 6 of 6

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