{
  "id": "1803.02275",
  "version": "v1",
  "published": "2018-03-06T16:08:21.000Z",
  "updated": "2018-03-06T16:08:21.000Z",
  "title": "Toposes of connectivity spaces. Morita equivalences with topological spaces and partially ordered sets in the finite case",
  "authors": [
    "Stéphane Dugowson"
  ],
  "comment": "in French",
  "categories": [
    "math.GN",
    "math.CT"
  ],
  "abstract": "This paper has two parts. First, we recall and detail the definition of the Grothendieck topos of a connectivity space, that is the topos of sheaves on such a space. In the second part, we prove that every finite connectivity space is Morita-equivalent to a finite topological space, and vice versa (we have given this proof in several, but we haven't yet shared this in writing).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-06T16:08:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "partially ordered sets",
      "morita equivalences",
      "finite case",
      "finite connectivity space",
      "second part"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "fr",
      "license": "arXiv",
      "status": "editable"
    }
  }
}