{
  "annotation_id": "e5d892d3-d4f2-49d0-8f48-425a45b5782d",
  "date_created": "2026-03-02T18:01:27.944000Z",
  "date_modified": "2026-03-02T18:01:27.944000Z",
  "file_hash": "045d851c5572d7d6185c2cc5d6c9946c696a1ae29ec2a64412470f5d94cfaf6d",
  "private": false,
  "record": {
    "abstract": "The purpose of this article is to define the topological realization of a\nsimplicial presheaf and to prove (under appropriate conditions) that it is\nhomotopy-invariant under Illusie weak equivalence. In particular this applies\nto the site of schemes over $Spec (\\cc)$ with the etale or Zariski topologies.\nAs an application we show how to calculate the topological realization of a\nDeligne-Mumford stack. At the end we speculate on how to extend this to the\ncase of $n$-topoi.",
    "arxiv_id": "q-alg/9609004",
    "authors": [
      "Carlos Simpson"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "The topological realization of a simplicial presheaf",
    "url": "https://arxiv.org/abs/q-alg/9609004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3c713018-565a-4a28-a4ac-c24dffc96ff1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}