Coincidence theorems for finite topological spaces
Dynamical Systems
2020-10-27 v1 Algebraic Topology
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.
Cite
@article{arxiv.2010.12804,
title = {Coincidence theorems for finite topological spaces},
author = {Pedro J. Chocano and Manuel A. Morón and Francisco R. Ruiz del Portal},
journal= {arXiv preprint arXiv:2010.12804},
year = {2020}
}