Properties of functors
Found 31 properties (20 grouped)
- is continuous / cocontinuous
- is finitary / cofinitary
- is monadic / comonadic
- is conservative
- is an equivalence
- is essentially injective
- is essentially surjective
- is exact
- is faithful
- is full
- is a left adjoint / right adjoint
- is left exact / right exact
- is left-invertible
- preserves coequalizers / preserves equalizers
- preserves coproducts / preserves products
- preserves coreflexive equalizers / preserves reflexive coequalizers
- preserves epimorphisms / preserves monomorphisms
- preserves finite coproducts / preserves finite products
- preserves initial objects / preserves terminal objects
- is representable