{
  "id": "1703.04339",
  "version": "v1",
  "published": "2017-03-13T11:26:18.000Z",
  "updated": "2017-03-13T11:26:18.000Z",
  "title": "Simplicial inverse sequences in extension theory",
  "authors": [
    "Leonard R. Rubin",
    "Vera Tonić"
  ],
  "comment": "17 pages",
  "categories": [
    "math.GT",
    "math.AT",
    "math.GN"
  ],
  "abstract": "In extension theory, in particular in dimension theory, it is frequently useful to represent a given compact metrizable space X as the limit of an inverse sequence of compact polyhedra. We are going to show that, for the purposes of extension theory, it is possible to replace such an X by a better metrizable compactum Z. This Z will come as the limit of an inverse sequence of triangulated polyhedra with simplicial bonding maps that factor in a certain way. There will be a cell-like map from Z to X, and we shall show that if K is a CW-complex which is an absolute extensor for X, then K is also an absolute extensor for Z.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-13T11:26:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "simplicial inverse sequences",
      "extension theory",
      "absolute extensor",
      "compact metrizable space",
      "simplicial bonding maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}