Namely, we can demand the existence of a tensor product that is left adjoint to the internal Hom functor . In this appro...
If there is a monoidal functor from a monoidal category M to a monoidal category N , then any category enriched over M c...
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 ...
Limits and universal morphisms Colimits in comma categories may be "inherited". If and are cocomplete, is a co...
Functors Main article: functor Functors are structure-preserving maps between categories. They can be thought of as morp...
C ) can be made precise in several ways; the most succinct formulation uses the language of adjoint functors . Every fun...
