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 ...
C ) can be made precise in several ways; the most succinct formulation uses the language of adjoint functors . Every fun...
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...
The distinction is particularly important for computations with tensors , which often have mixed variance (both covarian...
It follows that any functor which preserves limits will take terminal objects to terminal objects, and any functor which...
