Outline of Category Theory - Functors

Functors

• Isomorphism of categories –
• Natural transformation –
• Equivalence of categories –
• Subcategory –
• Faithful functor –
• Full functor –
• Forgetful functor –
• Yoneda lemma –
• Representable functor –
• Functor category –
• Adjoint functors –

• Galois connection –
• Pontryagin duality –
• Affine scheme –

• Monad (category theory) –
• Comonad –
• Combinatorial species –
• Exact functor –
• Derived functor –
• Enriched functor –
• Kan extension of a functor –
• Hom functor –