{
  "id": "2205.01617",
  "version": "v1",
  "published": "2022-05-03T16:52:46.000Z",
  "updated": "2022-05-03T16:52:46.000Z",
  "title": "Functors in Lorentzian geometry -- three variations on a theme",
  "authors": [
    "Olaf Müller"
  ],
  "comment": "12 pages. The article was written for the conference volume of the conference \"Singularity theorems, causality and all that; a tribute to Roger Penrose\" (2021) and is in large parts an overview article but also contains some new results",
  "categories": [
    "math.DG"
  ],
  "abstract": "We review three examples of functors from Lorentzian categories and their applications in finiteness results, singularity theorems and boundary constructions. The third example is a novel functor from the category of ordered measure spaces to the category of Lorentzian pre-length spaces in the sense of Kunzinger-S\\\"amann.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-03T16:52:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C50"
    ],
    "keywords": [
      "lorentzian geometry",
      "variations",
      "lorentzian pre-length spaces",
      "third example",
      "lorentzian categories"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}