{
  "id": "math/0702198",
  "version": "v1",
  "published": "2007-02-07T18:44:07.000Z",
  "updated": "2007-02-07T18:44:07.000Z",
  "title": "2-Dimension from the topological viewpoint",
  "authors": [
    "Jonathan Ariel Barmak",
    "Elias Gabriel Minian"
  ],
  "comment": "10 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper we study the 2-dimension of a finite poset from the topological point of view. We use homotopy theory of finite topological spaces and the concept of a beat point to improve the classical results on 2-dimension, giving a more complete answer to the problem of all possible 2-dimensions of an n-point poset.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-02-07T18:44:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "06A06",
      "06A07",
      "54A10",
      "54H99"
    ],
    "keywords": [
      "topological viewpoint",
      "complete answer",
      "beat point",
      "finite poset",
      "n-point poset"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......2198B"
    }
  }
}