On the Cantor-Dedekind property of the Tilson order on categories and graphs
The quasi-order of division is defined for finite categories, in analogy with that for monoids, and shown to be dense for non-trivial connected finite categories (non-trivial means that at least one object's endomorphism monoid is non-trivial; connected means the impossibility to divide the objects into two classes between which there is no morphism).
scientific article; zbMATH DE number 4021404