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nLab > Latest Changes: permuting limits and colimits

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  1.  
    • CommentRowNumber1.
    • CommentAuthorDmitri Pavlov
    • CommentTimeDec 25th 2015
    • (edited Dec 25th 2015)

    I created the article permuting limits and colimits.

    Currently it discusses two different situations when limits and colimits can be permuted: commutativity and distributivity.

    • CommentRowNumber2.
    • CommentAuthorvarkor
    • CommentTimeDec 18th 2022

    Is it useful to have this page, given that we have separate pages for commutativity of limits and colimits and distributivity of limits and colimits?

    • CommentRowNumber3.
    • CommentAuthorDmitri Pavlov
    • CommentTimeDec 18th 2022

    The article permuting limits and colimits was created after distributivity of limits and colimits (also created by me), to provide a single point of reference for the situation when limit and colimit operations change order. Currently, no other article fulfils this purpose.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeDec 18th 2022

    I have made slight adjustments to typesetting and wording, in an attempt to make it easier to read. For instance, I have moved the ranges of (co)limits to beneath the (co)limit symbols. I hope this should all be uncontroversial, but please have a look to see if you agree.

    diff, v4, current

    • CommentRowNumber5.
    • CommentAuthorDmitri Pavlov
    • CommentTimeDec 18th 2022

    Thank you Urs, looks good.

    • CommentRowNumber6.
    • CommentAuthorRodMcGuire
    • CommentTimeDec 18th 2022

    Clarified which ii is being described

    Here (on the left) ii is an element of the functor category I JI^J, and i(j)i(j) denotes its value at j∈Jj\in J.

    diff, v5, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeDec 18th 2022

    Okay, then let’s add also equation-numbers and -pointers: I have further adjusted here

    diff, v6, current

1 to 7 of 7

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