{
  "id": "1701.06788",
  "version": "v1",
  "published": "2017-01-24T10:01:17.000Z",
  "updated": "2017-01-24T10:01:17.000Z",
  "title": "Three applications of delooping applied to H-principles",
  "authors": [
    "Alexander Kupers"
  ],
  "comment": "49 pages, 2 figures",
  "categories": [
    "math.AT",
    "math.GT"
  ],
  "abstract": "In this paper we give three applications of a method to prove h-principles on closed manifolds. Under weaker conditions this method proves a homological h-principle, under stronger conditions it proves a homotopical one. The three applications are as follows: a homotopical version of Vassiliev's h-principle, the contractibility of the space of framed functions, and a version of Mather-Thurston theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-24T10:01:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58D10",
      "57R45"
    ],
    "keywords": [
      "applications",
      "mather-thurston theory",
      "vassilievs h-principle",
      "weaker conditions",
      "stronger conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 49,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}