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...
Universal cones Limits and colimits are defined as universal cones . That is, cones through which all other cones factor...
Diagonal functor : The diagonal functor is defined as the functor from D to the functor category D C which sends each ob...
Functors Main article: functor Functors are structure-preserving maps between categories. They can be thought of as morp...
Yoneda's lemma asserts that every natural transformation between Hom functors is of this form. In other words, the Hom f...
Preservation of limits Representable functors are naturally isomorphic to Hom functors and therefore share their propert...
