{
  "id": "1708.02482",
  "version": "v1",
  "published": "2017-08-08T13:32:37.000Z",
  "updated": "2017-08-08T13:32:37.000Z",
  "title": "A simple permutoassociahedron",
  "authors": [
    "Djordje Baralic",
    "Jelena Ivanovic",
    "Zoran Petric"
  ],
  "comment": "22 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "In the early 1990s, a family of combinatorial CW-complexes named permutoassociahedra was introduced by Kapranov, and it was realized by Reiner and Ziegler as a family of convex polytopes. The polytopes in this family are \"hybrids\" of permutohedra and associahedra. Since permutohedra and associahedra are simple, it is natural to search for a family of simple permutoassociahedra, which is still adequate for a topological proof of Mac Lane's coherence. This paper presents such a family.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-08T13:32:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B11",
      "18D10",
      "52B12",
      "51M20"
    ],
    "keywords": [
      "simple permutoassociahedron",
      "mac lanes coherence",
      "combinatorial cw-complexes named permutoassociahedra",
      "convex polytopes",
      "permutohedra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}