{
  "id": "1409.8637",
  "version": "v1",
  "published": "2014-09-30T17:50:46.000Z",
  "updated": "2014-09-30T17:50:46.000Z",
  "title": "Generalizations of Shashkin and Tucker's lemma",
  "authors": [
    "Oleg R. Musin"
  ],
  "comment": "8 pages, 2 figures",
  "categories": [
    "math.CO",
    "math.GT"
  ],
  "abstract": "Tucker's lemma is a combinatorial analog of the Borsuk--Ulam theorem (BUT). In 1996 Yu. A. Shashkin proved lemma, which is a combinatorial analog of the odd mapping theorem (OMT). We consider generalizations of these lemmas for BUT--manifolds, i. e. for manifolds that satisfy BUT. Proofs rely on a generalization of the OMT and on the lemma about the doubling of manifolds with boundaries that are BUT--manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-30T17:50:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tuckers lemma",
      "generalization",
      "combinatorial analog",
      "borsuk-ulam theorem",
      "odd mapping theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.8637M"
    }
  }
}