{
  "id": "2303.12679",
  "version": "v1",
  "published": "2023-03-22T16:23:22.000Z",
  "updated": "2023-03-22T16:23:22.000Z",
  "title": "Type-respecting amalgamation and big Ramsey degrees",
  "authors": [
    "Andrés Aranda",
    "Samuel Braunfeld",
    "David Chodounský",
    "Jan Hubička",
    "Matěj Konečný",
    "Jaroslav Nešetřil",
    "Andy Zucker"
  ],
  "comment": "5 pages. Extended abstract",
  "categories": [
    "math.CO",
    "cs.DM",
    "math.LO"
  ],
  "abstract": "We give an infinitary extension of the Ne\\v{s}et\\v{r}il-R\\\"{o}dl theorem for category of relational structures with special type-respecting embeddings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-22T16:23:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05D10",
      "05C05",
      "05C65",
      "05C55",
      "G.2.2",
      "F.4.1"
    ],
    "keywords": [
      "big ramsey degrees",
      "type-respecting amalgamation",
      "special type-respecting embeddings",
      "infinitary extension",
      "relational structures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}