{
  "id": "1008.4100",
  "version": "v4",
  "published": "2010-08-24T18:19:11.000Z",
  "updated": "2010-10-12T02:20:45.000Z",
  "title": "Pattern Recognition on Oriented Matroids: Halfspaces, Convex Sets and Tope Committees",
  "authors": [
    "Andrey O. Matveev"
  ],
  "comment": "15 pages; v.2 - minor improvements, v.3,4 - new Section 7 and references added",
  "categories": [
    "math.CO"
  ],
  "abstract": "The principle of inclusion-exclusion is applied to subsets of maximal covectors contained in halfspaces of a simple oriented matroid and to convex subsets of its ground set for enumerating tope committees.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2010-10-12T02:20:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "convex sets",
      "pattern recognition",
      "halfspaces",
      "enumerating tope committees",
      "convex subsets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1008.4100M"
    }
  }
}