{
  "id": "2310.14235",
  "version": "v1",
  "published": "2023-10-22T09:02:25.000Z",
  "updated": "2023-10-22T09:02:25.000Z",
  "title": "Synthetic approach to the Quillen model structure on topological spaces",
  "authors": [
    "Sterling Ebel",
    "Chris Kapulkin"
  ],
  "comment": "31 pages; comments welcome",
  "categories": [
    "math.AT",
    "math.CT"
  ],
  "abstract": "We provide an axiomatic treatment of Quillen's construction of the model structure on topological spaces to make it applicable to a wider range of settings, including $\\Delta$-generated spaces and pseudotopological spaces. We use this axiomatization to construct a model structure on the category of locales.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-22T09:02:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55U35",
      "18N40",
      "18F70"
    ],
    "keywords": [
      "quillen model structure",
      "synthetic approach",
      "wider range",
      "axiomatic treatment",
      "quillens construction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}