{
  "id": "2011.14855",
  "version": "v1",
  "published": "2020-11-30T14:49:01.000Z",
  "updated": "2020-11-30T14:49:01.000Z",
  "title": "There is no topological Fulton-MacPherson compactification",
  "authors": [
    "Alexander Kupers"
  ],
  "comment": "2 pages",
  "categories": [
    "math.GT",
    "math.AT"
  ],
  "abstract": "In this note we prove that the Fulton-MacPherson compactification of configuration spaces of smooth manifolds can not be extended to topological manifolds in a natural manner, using recent work of Chen and Mann.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-30T14:49:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55R80",
      "57S05"
    ],
    "keywords": [
      "topological fulton-macpherson compactification",
      "configuration spaces",
      "smooth manifolds",
      "natural manner"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 2,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}