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Daniel Teixeira (Nov 24 2023 at 16:22):In his paper on compact bicategories, Mike Stay mentions that the bicategory Prof of categories and profunctors is compact. What is the dualizability structure of a category C?
Mike Shulman (Nov 24 2023 at 16:53):The dual of a category in is its opposite , and the unit and counit are both its hom-functor.
John Baez (Nov 24 2023 at 17:06):I don't know how often @Mike Stay reads this Zulip, but he'll be glad to know Daniel is reading his paper.