Coincidence theorems for finite topological spaces

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Chocano Feito, Pedro José and Morón, Manuel A. and Ruiz del Portal, Francisco R. Coincidence theorems for finite topological spaces. (Unpublished)

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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.


Item Type:Article
Uncontrolled Keywords:Finite T0 spaces; Alexandroff spaces; Posets; Multivalued maps; Fixed points, Dynamical systems, Approximation of polyhedra
Palabras clave (otros idiomas):Topología algebraica
Subjects:Sciences > Mathematics
Sciences > Mathematics > Topology
ID Code:73488
Deposited On:07 Jul 2022 07:36
Last Modified:07 Jul 2022 08:28

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