Chocano Feito, Pedro JoséAlonso Morón, ManuelRomero Ruiz Del Portal, Francisco2023-06-212023-06-21https://hdl.handle.net/20.500.14352/65271We 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 fixed point 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.spajournal articleopen access515.14Finite T0 spacesAlexandroff spacesPosetsMultivalued mapsFixed pointsDynamical systemsApproximation of polyhedraTopología algebraicaMatemáticas (Matemáticas)Topología12 Matemáticas1210 Topología