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    • CommentRowNumber1.
    • CommentAuthormattecapu
    • CommentTimeOct 19th 2022

    page crated as per Mike and Nathanael’s suggetion

    v1, current

    • CommentRowNumber2.
    • CommentAuthormattecapu
    • CommentTimeOct 21st 2022

    added new paper on VETT

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthormattecapu
    • CommentTimeOct 21st 2022

    added ’Cornering Optics’

    diff, v2, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeOct 21st 2022

    So far, at least, this page seems to have no reason not to be a set of subsections right in the References section at double category (?) — on the contrary, given that the first third of the present page is now about theory instead of about applications.

    If you do want to keep this as a separate page for some reason, I’d suggest that you indent its section levels from ## to ### and then !include it within the References-section of double category.

    What do you think?

  1. Two more entries for the list. It seemsto be sorted chronologically, and I’ve tried to keep that going.


    diff, v3, current

  2. Mention my blog post on structured cospans as a cocartesian equipment.

    diff, v4, current

  3. Is there a reason we’re not see physics applications of double categories?

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTime3 days ago

    Maybe to beware that several entries in the list are not actually applications of double category theory.

    For instance:

    • String diagrams for double categories

    • Grothendieck construction for double categories

    • Double Fibrations

    are all about adapting existing notions to double categories.

    The main application of double category to systems theory is not far from a general kind of physics.

    • CommentRowNumber9.
    • CommentAuthorDavid_Corfield
    • CommentTime3 days ago
    • (edited 3 days ago)

    The main application of double category to systems theory is not far from a general kind of physics.

    Right. It certainly looks that way. They’re looking to glue together structured entities with input-output ports, which is close to the cospans appearing in, say, path integral as a pull-push transform.

    I remember way back double categories would feature in discussions on transport in higher gauge theory. A vestige of this at holographic principle of higher category theory.

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