{
  "id": "2011.14690",
  "version": "v1",
  "published": "2020-11-30T11:00:56.000Z",
  "updated": "2020-11-30T11:00:56.000Z",
  "title": "Pattern Recognition on Oriented Matroids: Subtopes and Decompositions of (Sub)topes",
  "authors": [
    "Andrey O. Matveev"
  ],
  "comment": "11 pages, 1 figure",
  "categories": [
    "math.CO"
  ],
  "abstract": "For a symmetric 2t-cycle in the tope graph of a simple oriented matroid M on the ground set {1,...,t}, where t is even, we describe decompositions of topes and subtopes of M with respect to the subtopes corresponding to the edges of the symmetric cycle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-30T11:00:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "pattern recognition",
      "decompositions",
      "tope graph",
      "simple oriented matroid",
      "symmetric 2t-cycle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}