{
  "id": "math/9905203",
  "version": "v1",
  "published": "1999-05-28T00:00:00.000Z",
  "updated": "1999-05-28T00:00:00.000Z",
  "title": "Embeddings from the point of view of immersion theory: Part II",
  "authors": [
    "Thomas G. Goodwillie",
    "Michael Weiss"
  ],
  "comment": "16 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol3/paper4.abs.html",
  "journal": "Geom. Topol. 3 (1999), 103-118",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let M and N be smooth manifolds. For an open V of M let emb(V,N) be the space of embeddings from V to N. By results of Goodwillie and Goodwillie-Klein, the cofunctor V |--> emb(V,N) is analytic if dim(N)-dim(M) > 2. We deduce that its Taylor series converges to it. For details about the Taylor series, see Part I.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-05-28T00:00:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R40",
      "57R42"
    ],
    "keywords": [
      "immersion theory",
      "embeddings",
      "taylor series converges",
      "smooth manifolds",
      "goodwillie-klein"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}