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Big dagger-category to-do list #401

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Taneb opened this issue Oct 24, 2023 · 0 comments
Open
15 tasks

Big dagger-category to-do list #401

Taneb opened this issue Oct 24, 2023 · 0 comments
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Taneb commented Oct 24, 2023

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...?
@Taneb Taneb self-assigned this Oct 24, 2023
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