{
  "id": "math/0008212",
  "version": "v2",
  "published": "2000-08-29T01:33:17.000Z",
  "updated": "2000-11-16T14:43:05.000Z",
  "title": "Exponential separation in 4-manifolds",
  "authors": [
    "Vyacheslav S Krushkal"
  ],
  "comment": "Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol4/paper13.abs.html",
  "journal": "Geom. Topol. 4(2000) 397-405",
  "categories": [
    "math.GT"
  ],
  "abstract": "We use a new geometric construction, grope splitting, to give a sharp bound for separation of surfaces in 4-manifolds. We also describe applications of this technique in link-homotopy theory, and to the problem of locating pi_1-null surfaces in 4-manifolds. In our applications to link-homotopy, grope splitting serves as a geometric substitute for the Milnor group.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-11-16T14:43:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N13",
      "57M25",
      "57N35",
      "57N70"
    ],
    "keywords": [
      "exponential separation",
      "geometric construction",
      "sharp bound",
      "milnor group",
      "applications"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}