{
  "id": "2406.16775",
  "version": "v1",
  "published": "2024-06-24T16:34:50.000Z",
  "updated": "2024-06-24T16:34:50.000Z",
  "title": "Some relations in topological dynamics",
  "authors": [
    "Joseph Auslander",
    "Anima Nagar"
  ],
  "comment": "28 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "Relations always play an important role in the study of topological dynamics. Proximal, distal and almost periodic relations are well studied in literature. We further this direction and analogously study the strongly proximal and weakly distal relations. This gives a new class of flows - the weakly distal flows. We observe that the well known Morse-Thue substitution flows and Chacon transformations are weakly distal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-24T16:34:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B05"
    ],
    "keywords": [
      "topological dynamics",
      "morse-thue substitution flows",
      "important role",
      "weakly distal relations",
      "periodic relations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}