{
  "id": "2005.14240",
  "version": "v1",
  "published": "2020-05-28T19:03:48.000Z",
  "updated": "2020-05-28T19:03:48.000Z",
  "title": "A class of higher inductive types in Zermelo-Fraenkel set theory",
  "authors": [
    "Andrew Swan"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We define a class of higher inductive types that can be constructed in the category of sets under the assumptions of Zermelo-Fraenkel set theory without the axiom of choice or the existence of uncountable regular cardinals. This class includes the example of unordered trees of any arity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-28T19:03:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03B38",
      "03E10"
    ],
    "keywords": [
      "zermelo-fraenkel set theory",
      "higher inductive types",
      "uncountable regular cardinals",
      "assumptions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}