Limits of Mappings
  In this paper we consider a simple algebraic structure --- sets with a single endofunction. We shall see that from the point of view of limits, even this simplest case is both interesting and difficult. Nevertheless we obtain the shape of limit objects in the full generality, and we prove the inverse theorem in the easiest case of quantifier-free limits. 
L. Hosseini and J. Nesetril and P. Ossona de Mendez
math.CO