{
  "annotation_id": "20453af1-00cc-43d6-a2f5-1772cd99c651",
  "date_created": "2026-03-02T18:02:33.640000Z",
  "date_modified": "2026-03-02T18:02:33.640000Z",
  "file_hash": "4e91a3a93b8e25ef1960151bad8b552fcd20f3aa01fd413cccdd84d790224d0a",
  "private": false,
  "record": {
    "abstract": "We present a general way to define a topology on orthomodular lattices. We\nshow that in the case of a Hilbert lattice, this topology is equivalent to that\ninduced by the metrics of the corresponding Hilbert space. Moreover, we show\nthat in the case of a boolean algebra, the obtained topology is the discrete\none. Thus, our construction provides a general tool for studying orthomodular\nlattices but also a way to distinguish classical and quantum logics.",
    "arxiv_id": "quant-ph/0702025",
    "authors": [
      "Olivier Brunet"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.GN",
      "math.LO",
      "math.MP"
    ],
    "doi": "10.1007/s10773-007-9400-8",
    "title": "An Intrisic Topology for Orthomodular Lattices",
    "url": "https://arxiv.org/abs/quant-ph/0702025"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a2760b44-c9f5-4286-9ab8-b74aa195c9a1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}