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nLab > Latest Changes: locally internal category

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  1. Spelled out the (equivalent) definition of locally small indexed category, and noted the equivalence of 2-categories explicitly.

    Eigil Rischel

    diff, v6, current

    • CommentRowNumber2.
    • CommentAuthorMike Shulman
    • CommentTimeMay 25th 2022

    Add section headings, move up comment that finite limits suffice.

    diff, v7, current

    • CommentRowNumber3.
    • CommentAuthorMike Shulman
    • CommentTimeMay 25th 2022

    Expanded the definition to be more explicit.

    diff, v7, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeMay 26th 2022

    have added (here) various hyperlinks

    (and changed pullback to fiber product)

    added floating context menu “enriched category theory”

    diff, v8, current

    • CommentRowNumber5.
    • CommentAuthorvarkor
    • CommentTimeMay 26th 2022

    Mention that locally internal categories can be seen as categories enriched in a bicategory of spans.

    diff, v9, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeMay 26th 2022

    fixed the link to Robert F. C. Walters

    diff, v10, current

    • CommentRowNumber7.
    • CommentAuthorDavidRoberts
    • CommentTimeMay 29th 2022

    One would hope that the externalisation of an actual internal category is also locally internal. I haven’t got the time to sort this out right now, but if anyone knows if one of the references mentions this, that would be worth pointing out.

    Also, the opening line, specifying large categories, might be adjusted to “possibly large”.

    • CommentRowNumber8.
    • CommentAuthorvarkor
    • CommentTimeMar 13th 2023

    Add link to Catégories localement internes.

    diff, v11, current

    • CommentRowNumber9.
    • CommentAuthorDavidRoberts
    • CommentTimeSep 11th 2024

    Minor formatting edit, xuxu –> xux u etc

    diff, v13, current

1 to 9 of 9

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