{
  "id": "2409.14597",
  "version": "v1",
  "published": "2024-09-22T21:20:25.000Z",
  "updated": "2024-09-22T21:20:25.000Z",
  "title": "On the Euler Characteristic of Odd-Dimensional Orbifolds and Their Boundaries",
  "authors": [
    "Ramon Gallardo"
  ],
  "categories": [
    "math.GT",
    "math.DG"
  ],
  "abstract": "In this work we prove that for a compact odd-dimensional orbifold its Euler characteristic is half of the Euler characteristic of its boundary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-22T21:20:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R18",
      "57S17",
      "57S30",
      "54H15"
    ],
    "keywords": [
      "euler characteristic",
      "compact odd-dimensional orbifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}