Pedro J. Chocano, Manuel A. Morón, Francisco R. Ruiz del Portal
Published 2020-10-24Version 1
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 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.
A Lefschetz fixed point theorem for multivalued maps of finite spaces
Conley index for multivalued maps on finite topological spaces
Convergence Time Towards Periodic Orbits in Discrete Dynamical Systems
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