{
  "id": "1909.07965",
  "version": "v1",
  "published": "2019-09-17T17:54:06.000Z",
  "updated": "2019-09-17T17:54:06.000Z",
  "title": "Homotopy Types of Abstract Elementary Classes",
  "authors": [
    "Tim Campion",
    "Jinhe Ye"
  ],
  "comment": "11 pages, rough draft. Comments are welcomed",
  "categories": [
    "math.LO",
    "math.AT",
    "math.CT"
  ],
  "abstract": "We prove that for any homotopy type $X$, there is an elementary class $\\calC$, with joint embedding, almagamation and no maximal models such that the classifying space realizes the homotopy type $X$. We provide a few explicit examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-17T17:54:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "abstract elementary classes",
      "homotopy type",
      "maximal models",
      "classifying space realizes",
      "explicit examples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}