{
  "id": "math/9810012",
  "version": "v1",
  "published": "1998-10-02T22:04:32.000Z",
  "updated": "1998-10-02T22:04:32.000Z",
  "title": "Spaces of Rational Loops on a Real Projective Space",
  "authors": [
    "Jacob Mostovoy"
  ],
  "comment": "AMS-LaTeX, 11 pages, 2 figures",
  "categories": [
    "math.AT",
    "math.GT"
  ],
  "abstract": "We show that the loop spaces of real projective spaces are topologically approximated by the spaces of rational maps from RP(1) to RP(n). As a byproduct of our constructions we obtain an interpretation of the Kronecker characteristic (degree) of an ornament via particle spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-10-02T22:04:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26C15",
      "55P35"
    ],
    "keywords": [
      "real projective space",
      "rational loops",
      "loop spaces",
      "rational maps",
      "particle spaces"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math.....10012M"
    }
  }
}