{
  "id": "2010.12804",
  "version": "v1",
  "published": "2020-10-24T06:39:08.000Z",
  "updated": "2020-10-24T06:39:08.000Z",
  "title": "Coincidence theorems for finite topological spaces",
  "authors": [
    "Pedro J. Chocano",
    "Manuel A. Morón",
    "Francisco R. Ruiz del Portal"
  ],
  "categories": [
    "math.DS",
    "math.AT"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-24T06:39:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55M20",
      "37B99",
      "54H20"
    ],
    "keywords": [
      "finite topological spaces",
      "coincidence theorems",
      "lefschetz fixed point theorem",
      "vietoris map",
      "discrete dynamical systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}