Properties of functors
Found 45 properties (30 grouped)
- is continuous / cocontinuous
- is finitary / cofinitary
- is monadic / comonadic
- is conservative
- is a reflector / coreflector
- is regular / coregular
- is dominant
- is an equivalence
- is essentially injective
- is essentially surjective
- is exact
- is faithful
- is full
- is full on isomorphisms
- is fully faithful
- is an isomorphism
- is a left adjoint / right adjoint
- is left exact / right exact
- is left-invertible
- preserves binary coproducts / binary products
- preserves coequalizers / equalizers
- preserves coproducts / products
- preserves coreflexive equalizers / reflexive coequalizers
- preserves epimorphisms / monomorphisms
- preserves finite coproducts / finite products
- preserves initial objects / terminal objects
- preserves regular epimorphisms / regular monomorphisms
- is pseudomonic
- is representable
- is right-invertible