{
  "annotation_id": "65878487-d6e9-489a-b6d4-89cdd0ed8535",
  "date_created": "2026-03-02T18:01:21.470000Z",
  "date_modified": "2026-03-02T18:01:21.470000Z",
  "file_hash": "d80ae00844f27656e3113102f8e3ccf64a5beeb38e9d26f4c78ab4e657b7a396",
  "private": false,
  "record": {
    "abstract": "A complete mathematical framework for coalgebraic formulation of\nsupergeometry and its infinite-dimensional extension is proposed. Within this\napproach a supermanifold is defined as a graded coalgebra endowed with a smooth\nstructure. The category of such coalgebras is constructed and analysed. It is\nshown that it contains as its full subcategories both the category of smooth\nFr\\\u0027{e}chet manifolds and the category of finite-dimensional\nBerezin-Leites-Kostant supermanifolds.",
    "arxiv_id": "physics/9712045",
    "authors": [
      "Z. Jaskolski"
    ],
    "categories": [
      "math-ph",
      "hep-th",
      "math.MP"
    ],
    "title": "Smooth coalgebras",
    "url": "https://arxiv.org/abs/physics/9712045"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1666aa40-1908-470b-a615-18f29b93c22b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}