{
  "id": "1703.04089",
  "version": "v1",
  "published": "2017-03-12T09:56:47.000Z",
  "updated": "2017-03-12T09:56:47.000Z",
  "title": "Strong Homology Theory of Continuous Maps",
  "authors": [
    "Anzor Beridze",
    "Vladimer Baladze"
  ],
  "comment": "11 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "The current work is motivated by the papers $[B_3]$, $[B_6]$, $[Be]$, $[Be-Tu]$. In particular, using Theorem 3.7 of $[B_3]$ and methods developed in this paper, the spectral and strong homology groups of continuous maps were defined and studied $[B_6]$, $[Be]$, $[Be-Tu]$. In this paper we will show that strong homology groups of continuous maps are a homology type functor, which is a strong shape invariant and has the semi-continuous property. We will formulate the new axioms and the conjunction on the uniqueness of the constructed functor.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-12T09:56:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55N07",
      "55N40"
    ],
    "keywords": [
      "strong homology theory",
      "continuous maps",
      "strong homology groups",
      "strong shape invariant",
      "homology type functor"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}