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nLab > Latest Changes: large cocompleteness

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  1.  
    • CommentRowNumber1.
    • CommentAuthorvarkor
    • CommentTimeApr 22nd 2023

    Started this page to record various facts about large cocompletions as I survey some of the literature. It’s possible that some of these concepts should have their own pages eventually, but at the moment this seems awkward as many don’t already have names in the literature (or have names that are not ideal for various reasons).

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeApr 22nd 2023
    • (edited Apr 22nd 2023)

    added some more hyperlinks to technical terms

    made “compact category” redirect to here, for the time being.

    Where the notion of “compact categories” is first defined in the entry, I added a warning that this is un-related to “compact closed categories”.

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeApr 22nd 2023
    • (edited Apr 22nd 2023)

    The line

    in the sense of Isbell (also called a SAFT-category)

    would deserve to be referenced:

    Where did Isbell say “compact category”, and who says “SAFT-category”?

    • CommentRowNumber4.
    • CommentAuthorvarkor
    • CommentTimeApr 22nd 2023

    Added a reference to Isbell, and removed SAFT-category terminology for now, as this appears to be used inconsistently in the literature.

    diff, v3, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeApr 22nd 2023
    • (edited Apr 22nd 2023)

    Thanks.

    I have added the doi:10.1007/BF01691344

    and anchored the reference item

    and then linked to it from the text:

    …in the sense of Isbell (1968)…

    diff, v4, current

    • CommentRowNumber6.
    • CommentAuthorvarkor
    • CommentTimeApr 22nd 2023

    Mention the free large cocompletion.

    diff, v5, current

    • CommentRowNumber7.
    • CommentAuthorvarkor
    • CommentTimeJul 14th 2023

    Mention strongly compact categories.

    diff, v6, current

    • CommentRowNumber8.
    • CommentAuthorvarkor
    • CommentTimeApr 20th 2024

    Mention Isbell-cocompleteness.

    diff, v7, current

1 to 8 of 8

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