{
  "id": "1910.11980",
  "version": "v1",
  "published": "2019-10-26T02:30:58.000Z",
  "updated": "2019-10-26T02:30:58.000Z",
  "title": "Configuration spaces of $\\R^n$ by way of exit-path $\\infty$-categories",
  "authors": [
    "Anna Cepek"
  ],
  "comment": "66 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "We approach manifold topology by examining configurations of finite subsets of manifolds within the homotopy-theoretic context of $\\infty$-categories by way of stratified spaces. Through these higher categorical means, we identify the homotopy types of such configuration spaces in the case of Euclidean space in terms of the category $\\mathbf{\\Theta}_n$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-26T02:30:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55R80",
      "57N80",
      "18B30",
      "55P60"
    ],
    "keywords": [
      "configuration spaces",
      "approach manifold topology",
      "finite subsets",
      "higher categorical means",
      "homotopy types"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 66,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}