{
  "id": "0810.3896",
  "version": "v3",
  "published": "2008-10-21T19:17:18.000Z",
  "updated": "2009-06-11T17:52:15.000Z",
  "title": "On the homotopy classification of maps",
  "authors": [
    "Samson Saneblidze"
  ],
  "comment": "10 pages, 1 figure, fixed typos, added references",
  "categories": [
    "math.AT"
  ],
  "abstract": "We establish certain conditions which imply that a map $f:X\\to Y$ of topological spaces is null homotopic when the induced integral cohomology homomorphism is trivial; one of them is: $H^*(X)$ and $\\pi_*(Y)$ have no torsion and $H^*(Y)$ is polynomial.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-06-11T17:52:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55S37",
      "55R35",
      "55S05",
      "55P35"
    ],
    "keywords": [
      "homotopy classification",
      "induced integral cohomology homomorphism",
      "null homotopic",
      "topological spaces",
      "conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.3896S"
    }
  }
}