{
  "id": "1705.03638",
  "version": "v1",
  "published": "2017-05-10T07:36:57.000Z",
  "updated": "2017-05-10T07:36:57.000Z",
  "title": "Shuffles of trees",
  "authors": [
    "Eric Hoffbeck",
    "Ieke Moerdijk"
  ],
  "comment": "18 pages",
  "categories": [
    "math.CO",
    "math.AT"
  ],
  "abstract": "We discuss a notion of shuffle for trees which extends the usual notion of a shuffle for two natural numbers. We give several equivalent descriptions, and prove some algebraic and combinatorial properties. In addition, we characterize shuffles in terms of open sets in a topological space associated to a pair of trees. Our notion of shuffle is motivated by the theory of operads and occurs in the theory of dendroidal sets, but our presentation is independent and entirely self-contained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-10T07:36:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "natural numbers",
      "equivalent descriptions",
      "dendroidal sets",
      "usual notion",
      "open sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}