{
  "id": "2103.04120",
  "version": "v1",
  "published": "2021-03-06T14:29:05.000Z",
  "updated": "2021-03-06T14:29:05.000Z",
  "title": "Specification property for step skew products",
  "authors": [
    "Ľubomír Snoha"
  ],
  "comment": "accepted for publication in J. Math. Anal. Appl",
  "categories": [
    "math.DS"
  ],
  "abstract": "Step skew products with interval fibres and a subshift as a base are considered. It is proved that if the fibre maps are continuous, piecewise monotone, expanding and surjective and the subshift has the specification property and a periodic orbit such that the composition of the fibre maps along this orbit is mixing, then the corresponding step skew product has the specification property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-06T14:29:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B05"
    ],
    "keywords": [
      "specification property",
      "fibre maps",
      "corresponding step skew product",
      "interval fibres",
      "periodic orbit"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}