{
  "id": "1109.2728",
  "version": "v2",
  "published": "2011-09-13T10:04:09.000Z",
  "updated": "2011-10-20T19:47:28.000Z",
  "title": "The homotopy type of the polyhedral product for shifted complexes",
  "authors": [
    "Jelena Grbic",
    "Stephen Theriault"
  ],
  "comment": "27 pages, typos corrected, Section 8 improved",
  "categories": [
    "math.AT"
  ],
  "abstract": "We prove a conjecture of Bahri, Bendersky, Cohen and Gitler: if K is a shifted simplicial complex on n vertices, X_1,..., X_n are spaces and CX_i is the cone on X_i, then the polyhedral product determined by K and the pairs (CX_i,X_i) is homotopy equivalent to a wedge of suspensions of smashes of the X_i's. This generalises earlier work of the two authors in the special case where each X_i is a loop space. Connections are made to toric topology, combinatorics, and classical homotopy theory.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-10-20T19:47:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P15",
      "13F55",
      "52C35"
    ],
    "keywords": [
      "homotopy type",
      "shifted complexes",
      "generalises earlier work",
      "shifted simplicial complex",
      "special case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.2728G"
    }
  }
}