{
  "id": "math/0310444",
  "version": "v1",
  "published": "2003-10-28T19:11:15.000Z",
  "updated": "2003-10-28T19:11:15.000Z",
  "title": "A Constructive Proof of Ky Fan's Generalization of Tucker's Lemma",
  "authors": [
    "Timothy Prescott",
    "Francis Edward Su"
  ],
  "comment": "related work at http://www.math.hmc.edu/~su/papers.html",
  "journal": "J. Combin. Theory Ser. A 111 (2005), 257--265",
  "categories": [
    "math.CO",
    "math.AT"
  ],
  "abstract": "We present a constructive proof of Ky Fan's combinatorial lemma concerning labellings of triangulated spheres. Our construction works for triangulations of $S^n$ that contain a flag of hemispheres. As a consequence, we produce a constructive proof of Tucker's lemma that holds for a larger class of triangulations than previous constructive proofs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-10-28T19:11:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55M20",
      "05A99",
      "52B70"
    ],
    "keywords": [
      "constructive proof",
      "ky fans generalization",
      "tuckers lemma",
      "fans combinatorial lemma concerning labellings",
      "ky fans combinatorial lemma concerning"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....10444P"
    }
  }
}