{
  "annotation_id": "080e651d-7ecb-4137-a7d5-da4f2d521bdb",
  "date_created": "2026-03-02T18:02:48.408000Z",
  "date_modified": "2026-03-02T18:02:48.408000Z",
  "file_hash": "41d576a8319d5212162de246d77287f8c4f75c4133cef593550808840192a821",
  "private": false,
  "record": {
    "abstract": "We extend the topos-theoretic treatment given in previous papers of assigning\nvalues to quantities in quantum theory, and of related issues such as the\nKochen-Specker theorem. This extension has two main parts: the use of von\nNeumann algebras as a base category (Section 2); and the relation of our\ngeneralized valuations to (i) the assignment to quantities of intervals of real\nnumbers, and (ii) the idea of a subobject of the coarse-graining presheaf\n(Section 3).",
    "arxiv_id": "quant-ph/9911020",
    "authors": [
      "J. Hamilton",
      "C. J. Isham",
      "J. Butterfield"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "A Topos Perspective on the Kochen-Specker Theorem: III. Von Neumann   Algebras as the Base Category",
    "url": "https://arxiv.org/abs/quant-ph/9911020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ccba529f-19a9-4346-92dd-8a4a51144ad6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}