{
  "id": "0812.0409",
  "version": "v4",
  "published": "2008-12-02T01:39:19.000Z",
  "updated": "2010-09-17T21:21:36.000Z",
  "title": "Weak omega-categories from intensional type theory",
  "authors": [
    "Peter LeFanu Lumsdaine"
  ],
  "journal": "LMCS 6 (3:24) 2010",
  "doi": "10.2168/LMCS-6(3:24)2010",
  "categories": [
    "math.LO",
    "math.CT",
    "math.CT"
  ],
  "abstract": "We show that for any type in Martin-L\\\"of Intensional Type Theory, the terms of that type and its higher identity types form a weak omega-category in the sense of Leinster. Precisely, we construct a contractible globular operad of definable composition laws, and give an action of this operad on the terms of any type and its identity types.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2010-09-17T21:21:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "intensional type theory",
      "weak omega-category",
      "higher identity types form",
      "contractible globular operad",
      "definable composition laws"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.0409L"
    }
  }
}