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nLab > Latest Changes: copower

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJun 18th 2010
    • (edited Jun 18th 2010)

    expanded copower:

    added an Idea-section, an Example-section, and a paragraph on copowers in higher category theory.

    • CommentRowNumber2.
    • CommentAuthorDavid_Corfield
    • CommentTimeOct 16th 2018

    Latest Revisions has copower changing 4 times in 2 seconds. What happened there?

    • CommentRowNumber3.
    • CommentAuthorMike Shulman
    • CommentTimeJan 29th 2019

    Corrected the statement about constructing all weighted limits from copowers and conical colimits: the conical colimits are not just ordinary SetSet-based colimits but still must have a VV-universal property (although the latter is automatic if powers also exist).

    diff, v22, current

    • CommentRowNumber4.
    • CommentAuthorDELETED_USER_2018
    • CommentTimeOct 23rd 2021
    • (edited Apr 11th 2023)

    [deleted]

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeOct 23rd 2021

    The truly mysterious edited highlighted in #2, 3 years ago, removed (in the first of the four edits within 2 seconds) the link to tensored and cotensored category. I have reinstantiated that now. (The other three edits had no visible effect).

    diff, v24, current

    • CommentRowNumber6.
    • CommentAuthorRodMcGuire
    • CommentTimeOct 23rd 2021
    • (edited Oct 23rd 2021)

    re #5

    Did you take out the phrase about Kelly’s book because you were going to fix up the references but then forgot about it?

    The next two classes of examples are covered in Kelly’s book (see references).

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeOct 24th 2021

    Thanks for catching this. Yes, I thought I had turned the reference into a hyperlink, but apparently I didn’t hit “submit” for the second step. Fixed now.

    Also I have now given the examples their Examples-environments and lumped together those pertaining to that Kelly reference to one example here.

    diff, v25, current

    • CommentRowNumber8.
    • CommentAuthorvarkor
    • CommentTimeMar 22nd 2023

    Change notation for copower to ⋅\cdot, which appears to be the most common convention.

    diff, v29, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeMay 10th 2023
    • (edited May 10th 2023)

    Fixed the typo in the main definition.

    (Which had been sitting there for years :-/ This entry deserves to be polished up further, maybe later…)

    diff, v33, current

1 to 9 of 9

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