{
  "id": "2004.13162",
  "version": "v1",
  "published": "2020-04-27T20:35:05.000Z",
  "updated": "2020-04-27T20:35:05.000Z",
  "title": "A note on big Ramsey degrees",
  "authors": [
    "Andy Zucker"
  ],
  "categories": [
    "math.LO",
    "math.CO"
  ],
  "abstract": "Generalizing and simplifying recent work of Dobrinen, we show that if $\\mathcal{L}$ is a finite binary relational language and $\\mathcal{F}$ is a finite set of finite irreducible $\\mathcal{L}$-structures, then the class $\\mathcal{K} = \\mathrm{Forb}(\\mathcal{F})$ has finite big Ramsey degrees.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-27T20:35:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite big ramsey degrees",
      "finite binary relational language",
      "finite set",
      "structures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}