%0 Journal Article %A Chocano Feito, Pedro José %A Morón, Manuel A. %A Ruiz del Portal, Francisco R. %T Coincidence theorems for finite topological spaces %U https://hdl.handle.net/20.500.14352/65271 %X We adapt the definition of the Vietoris map to the framework of finite topological spaces and we prove some coincidence theorems. From them, we deduce a Lefschetz fixedpoint theorem for multivalued maps that improves recent results in the literature. Finally, it is given an application to the approximation of discrete dynamical systems in polyhedra. %~