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arXiv · 2010.12804

Coincidence theorems for finite topological spaces

Pedro J. Chocano·Manuel A. Morón·Francisco R. Ruiz del Portal
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Abstract

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.

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Pedro J. Chocano, Manuel A. Morón, Francisco R. Ruiz del Portal. 2020-10-24. Coincidence theorems for finite topological spaces. https://arxiv.org/abs/2010.12804

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