Lax natural transformation
In the mathematical field of category theory, specifically the theory of 2-categories, a lax natural transformation is a kind of morphism between 2-functors.
Definition[edit]
Let C and D be 2-categories, and let be 2-functors. A lax natural transformation between them consists of
- a morphism in D for every object and
- a 2-morphism for every morphism in C
satisfying some equations (see [1] or [2])
References[edit]
- ^ nLab page (http://ncatlab.org/nlab/show/lax+natural+transformation)
- ^ Gray, Adjointness For 2-Categories