{
  "id": "2401.07435",
  "version": "v1",
  "published": "2024-01-15T02:43:02.000Z",
  "updated": "2024-01-15T02:43:02.000Z",
  "title": "Manifolds from Partitions",
  "authors": [
    "Oliver Knill"
  ],
  "comment": "10 pages, 8 figures",
  "categories": [
    "math.GT",
    "cs.DM",
    "math.CO"
  ],
  "abstract": "If f maps a discrete d-manifold G onto a (k+1)-partite complex P then H(G,f,P),the set of simplices x in G such that f(x) contains at least one facet in P defines a (d-k)-manifold.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-15T02:43:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "68R10",
      "05C50",
      "57M15"
    ],
    "keywords": [
      "partitions",
      "discrete d-manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}