{
  "id": "1905.10061",
  "version": "v1",
  "published": "2019-05-24T07:05:22.000Z",
  "updated": "2019-05-24T07:05:22.000Z",
  "title": "Generalizations of expansiveness in Non-Autonomous Discrete Systems",
  "authors": [
    "Radhika Vasisht",
    "Ruchi Das"
  ],
  "comment": "17 pages",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper, we define and study generalizations of expansiveness, namely n- expansiveness, $\\aleph_0$-expansiveness, continuum-wise expansive and meagre expansiveness for non-autonomous discrete dynamical systems. We discuss various properties of such non-autonomous systems and give necessary examples. We prove results related to non-existence of $\\aleph_0$-expansive and meagre expansive non-autonomous system on certain spaces. We also study relation between $\\aleph_0$-expansive and meagre-expansive non-autonomous systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-24T07:05:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54H20",
      "37B55",
      "54B20"
    ],
    "keywords": [
      "non-autonomous discrete systems",
      "study generalizations",
      "meagre expansiveness",
      "non-autonomous discrete dynamical systems",
      "study relation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}