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    • CommentRowNumber1.
    • CommentAuthormattecapu
    • CommentTimeJun 20th 2022

    link to PDF for reference

    diff, v10, current

    • CommentRowNumber2.
    • CommentAuthorDmitri Pavlov
    • CommentTimeJun 22nd 2023

    Related concept: retrocell.

    diff, v11, current

    • CommentRowNumber3.
    • CommentAuthorvarkor
    • CommentTimeJan 2nd 2024

    Added some more references.

    diff, v12, current

    • CommentRowNumber4.
    • CommentAuthorvarkor
    • CommentTimeJan 2nd 2024

    Mentioned the definition of a connection pair.

    diff, v12, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeJan 2nd 2024

    I have added proper hyperlinks to vertical morphism and horizontal morphism

    and touched the formatting of the diagram

    diff, v13, current

    • CommentRowNumber6.
    • CommentAuthormattecapu
    • CommentTimeAug 7th 2024

    added: a double category has companions iff its underlying span is a two-sided fibration

    diff, v14, current

    • CommentRowNumber7.
    • CommentAuthormattecapu
    • CommentTimeAug 14th 2024

    disambiguated vertical/horizontal to tight/loose

    diff, v15, current

    • CommentRowNumber8.
    • CommentAuthorvarkor
    • CommentTime6 days ago

    In the previous edit, it was claimed without reference that a double category with companions is sometimes called a “company”. I looked for a reference, but could not find one. I’ve replaced the terminology with an alternative for which I have found a reference, and which is more descriptive.

    diff, v16, current