{
  "id": "2105.14446",
  "version": "v1",
  "published": "2021-05-30T07:21:59.000Z",
  "updated": "2021-05-30T07:21:59.000Z",
  "title": "Phantom maps and rational homotopy",
  "authors": [
    "Hiroshi Kihara"
  ],
  "categories": [
    "math.AT"
  ],
  "abstract": "We generalize theorems of McGibbon-Roitberg, Iriye, and Meier on the relations between phantom maps and rational homotopy, and apply them to provide new calculational examples of the homotopy sets Ph(X, Y ) of phantom maps and the subsets SPh(X, Y ) of special phantom maps.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-30T07:21:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55Q05",
      "55P60",
      "55P62"
    ],
    "keywords": [
      "rational homotopy",
      "homotopy sets ph",
      "special phantom maps",
      "calculational examples",
      "subsets sph"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}