{
  "id": "math/9707216",
  "version": "v1",
  "published": "1997-07-07T00:00:00.000Z",
  "updated": "1997-07-07T00:00:00.000Z",
  "title": "Obstructions to Shellability",
  "authors": [
    "Michelle L. Wachs"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We consider a simplicial complex generaliztion of a result of Billera and Meyers that every nonshellable poset contains the smallest nonshellable poset as an induced subposet. We prove that every nonshellable $2$-dimensional simplicial complex contains a nonshellable induced subcomplex with less than $8$ vertices. We also establish CL-shellability of interval orders and as a consequence obtain a formula for the Betti numbers of any interval order.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-07-07T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "obstructions",
      "interval order",
      "dimensional simplicial complex contains",
      "simplicial complex generaliztion",
      "nonshellable poset contains"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1997math......7216W"
    }
  }
}