{
  "id": "2305.19579",
  "version": "v1",
  "published": "2023-05-31T05:59:04.000Z",
  "updated": "2023-05-31T05:59:04.000Z",
  "title": "On a structure of non-wandering set of an $Ω$-stable 3-diffeomorphism possessing a hyperbolic attractor",
  "authors": [
    "Marina Barinova",
    "Olga Pochinka",
    "Evgeniy Yakovlev"
  ],
  "comment": "24 pages, 5 figures",
  "categories": [
    "math.DS",
    "math.AT"
  ],
  "abstract": "This paper belongs to a series of papers devoted to the study of the structure of the non-wandering set of an A-diffeomorphism. We study such set $NW(f)$ for an $\\Omega$-stable diffeomorphism $f$, given on a closed connected 3-manifold $M^3$. Namely, we prove that if all basic sets in $NW(f)$ are trivial except attractors, then every non-trivial attractor is either one-dimensional non-orientable or two-dimensional expanding.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-31T05:59:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C15"
    ],
    "keywords": [
      "non-wandering set",
      "hyperbolic attractor",
      "possessing",
      "paper belongs",
      "basic sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}