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2025-05-21 16:55:25 UTC

Naïm Camille Favier on Nostr: What do you get if you interpret "f : A → B is surjective" (∀ b : B. ∃ a : A. ...

What do you get if you interpret "f : A → B is surjective" (∀ b : B. ∃ a : A. f(a) = b) in the internal language of a [whatever adjectives you need to make sense of that statement] category? I think the existential should be interpreted as the inclusion im f → B in a regular category, so the ∀ should give you a section of that? What flavour of epimorphism is this?