{
  "id": "1605.01240",
  "version": "v1",
  "published": "2016-05-04T12:09:09.000Z",
  "updated": "2016-05-04T12:09:09.000Z",
  "title": "On Codimension one Embedding of Simplicial Complexes",
  "authors": [
    "Anders Björner",
    "Afshin Goodarzi"
  ],
  "categories": [
    "math.GT",
    "math.CO"
  ],
  "abstract": "We study $d$-dimensional simplicial complexes that are PL embeddable in $\\mathbb{R}^{d+1}$. It is shown that such a complex must satisfy a certain homological condition. The existence of this obstruction allows us to provide a systematic approach to deriving upper bounds for the number of top-dimensional faces of such complexes, particularly in low dimensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-04T12:09:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "codimension",
      "dimensional simplicial complexes",
      "low dimensions",
      "systematic approach",
      "deriving upper bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}