In this note we prove that distributors between groupoids in a Barr-exact category E form the bicategory of relations relative to the comprehensive factorization system in Gpd(E). The case E = Set is of special interest.
Keywords: distributor, profunctor, factorization system, internal groupoid
2010 MSC: 18A32,20L05
Theory and Applications of Categories, Vol. 34, 2019, No. 5, pp 109-120.