{
  "id": "2308.10352",
  "version": "v1",
  "published": "2023-08-20T20:06:20.000Z",
  "updated": "2023-08-20T20:06:20.000Z",
  "title": "Shift spaces, Languages and Transfinite Induction",
  "authors": [
    "Maira Aranguren",
    "Jorge Campos",
    "Neptalí Romero",
    "Ramón Vivas"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "This note deal with an extension of the classical notion of shift space: shift-invariant closed subsets of a Cartesian product of finite sets endowed with the prodiscrete topology. In such a framework it is introduced the language of this type of shift space and a characterization is shown, which requires transfinite induction because the universe of those shift spaces are not necessarily countable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-20T20:06:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B10"
    ],
    "keywords": [
      "shift space",
      "transfinite induction",
      "note deal",
      "cartesian product",
      "finite sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}