论文标题

有限拓扑空间的巧合定理

Coincidence theorems for finite topological spaces

论文作者

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

论文摘要

我们将越野图的定义调整为有限拓扑空间的框架,并证明了一些巧合定理。从他们那里,我们推断出lefschetz固定点定理,以改善文献的最新结果。最后,将其应用于多面体中离散动力学系统的近似值。

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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