{
  "id": "2205.03034",
  "version": "v1",
  "published": "2022-05-06T06:21:41.000Z",
  "updated": "2022-05-06T06:21:41.000Z",
  "title": "A combinatorial description of shape theory",
  "authors": [
    "Pedro J. Chocano",
    "Manuel A. Morón",
    "Francisco R. Ruiz del Portal"
  ],
  "comment": "20 pages, 7 figures",
  "categories": [
    "math.GN",
    "math.AT",
    "math.CO"
  ],
  "abstract": "We give a combinatorial description of shape theory using finite topological $T_0$-spaces (finite partially ordered sets). This description may lead to a sort of computational shape theory. Then we introduce the notion of core for inverse sequences of finite spaces and prove some properties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-06T06:21:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "06A11",
      "06A07",
      "54C56",
      "55P55"
    ],
    "keywords": [
      "combinatorial description",
      "computational shape theory",
      "finite spaces",
      "finite partially ordered sets",
      "inverse sequences"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}