{
  "id": "2401.03520",
  "version": "v1",
  "published": "2024-01-07T15:40:09.000Z",
  "updated": "2024-01-07T15:40:09.000Z",
  "title": "Fundamental groups of 2-complexes with nonpositive planar sectional curvature",
  "authors": [
    "Lycka Drakengren"
  ],
  "comment": "10 pages, 1 figure",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "We show that the finite simply connected 2-complexes of nonpositive planar sectional curvature are collapsible. Moreover, we show that each finite connected 2-complex with negative planar sectional curvature and fundamental group $\\mathbb{Z}$ can be collapsed to a 1-dimensional cycle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-07T15:40:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "57M20",
      "57M05"
    ],
    "keywords": [
      "nonpositive planar sectional curvature",
      "fundamental group",
      "negative planar sectional curvature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}