{
  "id": "2011.12078",
  "version": "v1",
  "published": "2020-11-24T13:30:56.000Z",
  "updated": "2020-11-24T13:30:56.000Z",
  "title": "Continuous functions on Berkovich spaces",
  "authors": [
    "Junyi Xie"
  ],
  "comment": "25 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $k$ be a perfect complete valued field with a nontrivial non-archimedean norm $|\\cdot|$ and $\\omega\\in k$ with $0<|\\omega|<1.$ Let $X$ be a reduced and normal $k$-analytic space. Then $O^{\\circ}\\simeq \\lim\\limits_{\\leftarrow}O^{\\circ}/\\omega^n.$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-24T13:30:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "berkovich spaces",
      "continuous functions",
      "perfect complete valued field",
      "nontrivial non-archimedean norm",
      "analytic space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}