category theory

category

functor

natural transformation

Cat

universal construction

representable functor

adjoint functor

limit/colimit

weighted limit

end/coend

Kan extension

Yoneda lemma

Isbell duality

Grothendieck construction

adjoint functor theorem

monadicity theorem

adjoint lifting theorem

Tannaka duality

Gabriel-Ulmer duality

small object argument

Freyd-Mitchell embedding theorem

relation between type theory and category theory

sheaf and topos theory

enriched category theory

higher category theory

Edit this sidebar

$Surj$ (or $Set_{surj}$) is the wide subcategory of the topos Set with its morphisms restricted to epimorphisms (surjective functions).

Created on November 12, 2021 at 14:20:42. See the history of this page for a list of all contributions to it.