{
  "id": "2405.12323",
  "version": "v1",
  "published": "2024-05-20T18:45:43.000Z",
  "updated": "2024-05-20T18:45:43.000Z",
  "title": "A simple proof of a theorem of sensitivity II",
  "authors": [
    "Jorge Iglesias Aldo Portela"
  ],
  "comment": "5 pages and 1 figure",
  "categories": [
    "math.DS"
  ],
  "abstract": "Let $\\mathcal{S}$ be a topological semigroup and consider the dynamical system $(\\mathcal{S},X,\\Phi)$, where $X$ is locally compact metric space with a countable base. When $(\\mathcal{S},X,\\Phi)$ is transitive, dense of minimal set and non minimal the dynamical system is sensitive.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-20T18:45:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B05",
      "20M30"
    ],
    "keywords": [
      "simple proof",
      "sensitivity",
      "dynamical system",
      "locally compact metric space",
      "minimal set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}