{
  "id": "math/0610831",
  "version": "v1",
  "published": "2006-10-27T15:32:56.000Z",
  "updated": "2006-10-27T15:32:56.000Z",
  "title": "Integer-valued fixed point index for compositions of acyclic maps",
  "authors": [
    "E. G. Sklyarenko",
    "G. Skordev"
  ],
  "comment": "12 pages",
  "categories": [
    "math.GN",
    "math.AT"
  ],
  "abstract": "An integer-valued fixed point index for compositions of acyclic multivalued maps is constructed. This integer-valued fixed point index has the properties: additivity, homotoy invariance, normalization, commutativity, multiplicativity. The acyclicity is with respect to the Cech cohomology with integer coefficients. The technique of chain approximation is used.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-10-27T15:32:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54H25",
      "54C60"
    ],
    "keywords": [
      "integer-valued fixed point index",
      "acyclic maps",
      "compositions",
      "acyclic multivalued maps",
      "homotoy invariance"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10831S"
    }
  }
}