{
  "id": "2409.16251",
  "version": "v1",
  "published": "2024-09-24T17:20:44.000Z",
  "updated": "2024-09-24T17:20:44.000Z",
  "title": "Hyperseries subfields of surreal numbers",
  "authors": [
    "Vincent Bagayoko"
  ],
  "comment": "31 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "We study subfields of surreal numbers, called hyperseries fields, that are suited to be equipped with derivations and composition laws. We show how to define embeddings on hyperseries fields that commute with transfinite sums and all hyperexponential and hyperlogarithmic functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-24T17:20:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "surreal numbers",
      "hyperseries subfields",
      "hyperseries fields",
      "study subfields",
      "composition laws"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}