{
  "id": "2106.09808",
  "version": "v1",
  "published": "2021-06-17T20:46:19.000Z",
  "updated": "2021-06-17T20:46:19.000Z",
  "title": "On the image set and reversibility of shift morphisms over discrete alphabets",
  "authors": [
    "Jorge Campos",
    "Neptalí Romero",
    "Ramón Vivas"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper we provide sufficient conditions in order to show that the set image of a continuous and shift-commuting map defined on a shift space over an arbitrary discrete alphabet is also a shift space; additionally, if such a map is injective, then its inverse is also continuous and shift-commuting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-17T20:46:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B10",
      "37B15"
    ],
    "keywords": [
      "image set",
      "shift morphisms",
      "shift space",
      "reversibility",
      "arbitrary discrete alphabet"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}