Yoneda's lemma asserts that every natural transformation between Hom functors is of this form. In other words, the Hom f...
Namely, we can demand the existence of a tensor product that is left adjoint to the internal Hom functor . In this appro...
Indeed, the term "zero object" originated in the study of preadditive categories like Ab , where the zero obje...
Diagonal functor : The diagonal functor is defined as the functor from D to the functor category D C which sends each ob...
Problems formulated with adjoint functors 1.3 Adjoint functors as solving optimization problems 1.4 The case of partial ...
Preservation of limits Representable functors are naturally isomorphic to Hom functors and therefore share their propert...
G -sets are nothing but functors from this category to Set The category of all directed graphs is cartesian closed; this...
