{
  "id": "1801.09311",
  "version": "v1",
  "published": "2018-01-28T22:29:32.000Z",
  "updated": "2018-01-28T22:29:32.000Z",
  "title": "On the combinatorics of faces of trees and anodyne extensions of dendroidal sets",
  "authors": [
    "Matija Bašić"
  ],
  "comment": "26 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "We discuss the combinatorics of faces of trees in the context of dendroidal sets and develop a systematic treatment of dendroidal anodyne extensions. As the main example and our motivation, we prove the pushout-product property for the stable model structure on dendroidal sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-28T22:29:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dendroidal sets",
      "combinatorics",
      "dendroidal anodyne extensions",
      "stable model structure",
      "systematic treatment"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}