{
  "id": "1409.5846",
  "version": "v1",
  "published": "2014-09-20T02:38:12.000Z",
  "updated": "2014-09-20T02:38:12.000Z",
  "title": "A Ramsey theorem for partial orders with linear extensions",
  "authors": [
    "Slawomir Solecki",
    "Min Zhao"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We prove a Ramsey theorem for finite sets equipped with a partial order and a fixed number of linear orders extending the partial order. This is a common generalization of two recent Ramsey theorems due to Soki\\'c. As a bonus, our proof gives new arguments for these two results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-20T02:38:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05D10"
    ],
    "keywords": [
      "ramsey theorem",
      "partial order",
      "linear extensions",
      "common generalization",
      "fixed number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.5846S"
    }
  }
}