Diagonal functor : The diagonal functor is defined as the functor from D to the functor category D C which sends each ob...
Preservation of limits Representable functors are naturally isomorphic to Hom functors and therefore share their propert...
Problems formulated with adjoint functors 1.3 Adjoint functors as solving optimization problems 1.4 The case of partial ...
If there is a monoidal functor from a monoidal category M to a monoidal category N , then any category enriched over M c...
contravariant functor is right exact if and only if it turns finite limits into colimits. A functor is exact if and only...
Functors Main article: functor Functors are structure-preserving maps between categories. They can be thought of as morp...
G -sets are nothing but functors from this category to Set The category of all directed graphs is cartesian closed; this...
