{
  "id": "math/0703351",
  "version": "v1",
  "published": "2007-03-12T17:08:55.000Z",
  "updated": "2007-03-12T17:08:55.000Z",
  "title": "Cores of simplicial complexes",
  "authors": [
    "Mario Marietti",
    "Damiano Testa"
  ],
  "comment": "26 pages, 2 figures. Comments are very welcome!",
  "categories": [
    "math.CO",
    "math.AT"
  ],
  "abstract": "We introduce a method to reduce the study of the topology of a simplicial complex to that of a simpler one. We give some applications of this method to complexes arising from graphs. As a consequence, we answer some questions raised in [R.Ehrenborg, G.Hetyei, European J.Combin.27 (2006), no.6, 906-923] on the independence complex and the dominance complex. The techniques used come mainly from monomial ideal theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-03-12T17:08:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57Q10",
      "05C69",
      "05C70"
    ],
    "keywords": [
      "simplicial complexes",
      "monomial ideal theory",
      "independence complex",
      "dominance complex",
      "consequence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......3351M"
    }
  }
}