Yoneda's lemma asserts that every natural transformation between Hom functors is of this form. In other words, the Hom f...
Problems formulated with adjoint functors 1.3 Adjoint functors as solving optimization problems 1.4 The case of partial ...
Functors Main article: functor Functors are structure-preserving maps between categories. They can be thought of as morp...
contravariant functor is right exact if and only if it turns finite limits into colimits. A functor is exact if and only...
If there is a monoidal functor from a monoidal category M to a monoidal category N , then any category enriched over M c...
Limits and universal morphisms Colimits in comma categories may be "inherited". If and are cocomplete, is a co...
It follows that any functor which preserves limits will take terminal objects to terminal objects, and any functor which...
