{
  "id": "2207.05717",
  "version": "v1",
  "published": "2022-07-12T17:39:37.000Z",
  "updated": "2022-07-12T17:39:37.000Z",
  "title": "Homotopy Equivalences of 3-Manifolds",
  "authors": [
    "Federica Bertolotti"
  ],
  "comment": "15 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let $M$ be an oriented closed $3$-manifold. We prove that there exists a constant $A_M$, depending only on the manifold $M$, such that for every self-homotopy equivalence $f$ of $M$ there is an integer $k$ such that $1 \\leq k \\leq A_M$ and $f^k$ is homotopic to a homeomorphism.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-12T17:39:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P10",
      "57K30"
    ],
    "keywords": [
      "homotopy equivalences",
      "self-homotopy equivalence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}