{
  "id": "2312.16464",
  "version": "v1",
  "published": "2023-12-27T08:23:37.000Z",
  "updated": "2023-12-27T08:23:37.000Z",
  "title": "Strong Shape Invariance of Alexander-Spanier Normal Homology Theory",
  "authors": [
    "Anzor Beridze"
  ],
  "categories": [
    "math.AT"
  ],
  "abstract": "In the paper [Ba-Be-Mdz], using the Alexander-Spanier cochains based on the normal coverings, the exact homology theory $\\bar{H}^N_*(-,-;G)$, the so called Alexander-Spanier homology theory, is defined. In the paper we will use the method of construction of the strong homology theory to show that the homology theory $\\bar{H}^N_*(-,-;G)$ is a strong shape invariant.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-27T08:23:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "alexander-spanier normal homology theory",
      "strong shape invariance",
      "exact homology theory",
      "strong shape invariant",
      "strong homology theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}