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Notwithstanding #311, this are things I want to see implemented regarding dagger categories, mostly taken from Karvonen's The Way of the Dagger
- Dagger functors
- Category of dagger categories, dagger functors, and natural transformations
- Dagger functor categories
- Dagger 2-categories
- DagCat is a dagger 2-category
- (braided, symmetric) monoidal dagger categories (Karvonnen doesn't mention braided monoidal categories at all)
- dagger Frobenius monoids
- Dagger equivalences in dagger 2-categories
- Dagger adjunctions
- Dagger limits
- Rig dagger categories
- Dagger Frobenius monads
- Dagger adjunctions produce dagger Frobenius monads
- Kleisli categories of dagger Frobenius monads are dagger categories
- More...?
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