{
  "schema_version": 1,
  "kind": "ConceptView",
  "producer": "concept-view-1",
  "concept_id": "urn:uuid:1002fcb8-4c5d-4471-a9be-ebff4f4e5dd1",
  "labels": {
    "zh-CN": "复射影空间",
    "en": "Complex projective space"
  },
  "alternative_labels": [
    {
      "lang": "en",
      "value": "complex projective space"
    }
  ],
  "scope_note": "",
  "identity_status": "active",
  "identity_revision": "69a24f5de35ee53c90aab883d2ee50d9477bd1066f2ba2c935014db47fa61860",
  "occurrences": [
    {
      "concept_id": "urn:uuid:1002fcb8-4c5d-4471-a9be-ebff4f4e5dd1",
      "book_id": "woit-qtgr",
      "edition_id": "2025-10-20",
      "lang": "en",
      "route": "books/woit-qtgr/2025-10-20/en/chapter-07/04-complex-projective-space",
      "anchor": "first-f8b69cced03b8c0c2678-en",
      "chapter": "7",
      "section": "7.4",
      "offset": 61,
      "range": [
        7474,
        7785
      ],
      "source_revision": "56ee7f1727deaa19e151a716a8ad06b4eb7d62437a0e4e97e582b9d242bc09a3",
      "source_category": "machine_draft",
      "review_status": "machine-draft-not-reviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "Complex projective space",
      "context": {
        "range": [
          7466,
          7848
        ],
        "quote": "## 7.4 [<u class=\"concept-term\" data-concept-reference=\"concepts/topology/complex-projective-space\" data-concept-identity=\"urn:uuid:1002fcb8-4c5d-4471-a9be-ebff4f4e5dd1\" data-concept-route=\"/concept-identities#concept-1002fcb8-4c5d-4471-a9be-ebff4f4e5dd1\" id=\"first-f8b69cced03b8c0c2678-en\">Complex projective space</u>](../../../../../concepts/topology/complex-projective-space.md)",
        "quote_sha256": "2edc1e9ad69f2ec8813eb15b97aa2a42be1273b687a8fbb180e53351dc0d7723",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "books/woit-qtgr/2025-10-20/zh/chapter-07/04-complex-projective-space",
          "lang": "zh-CN",
          "source_category": "machine_draft",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-2e6d3550007f18fd5bcdd6a3"
    },
    {
      "concept_id": "urn:uuid:1002fcb8-4c5d-4471-a9be-ebff4f4e5dd1",
      "book_id": "woit-qtgr",
      "edition_id": "2025-10-20",
      "lang": "zh-CN",
      "route": "books/woit-qtgr/2025-10-20/zh/chapter-07/04-complex-projective-space",
      "anchor": "first-f8b69cced03b8c0c2678-zh",
      "chapter": "7",
      "section": "7.4",
      "offset": 61,
      "range": [
        8141,
        8459
      ],
      "source_revision": "dece3546a425ea2c52b709472898bb8128e5d5d751614a636ab79e1e1bbfe61c",
      "source_category": "machine_draft",
      "review_status": "machine-draft-not-reviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "复射影空间(complex projective space)",
      "context": {
        "range": [
          8133,
          8522
        ],
        "quote": "## 7.4 [<u class=\"concept-term\" data-concept-reference=\"concepts/topology/complex-projective-space\" data-concept-identity=\"urn:uuid:1002fcb8-4c5d-4471-a9be-ebff4f4e5dd1\" data-concept-route=\"/concept-identities#concept-1002fcb8-4c5d-4471-a9be-ebff4f4e5dd1\" id=\"first-f8b69cced03b8c0c2678-zh\">复射影空间(complex projective space)</u>](../../../../../concepts/topology/complex-projective-space.md)",
        "quote_sha256": "27e52f5bb9ce1d2b102e91c28589a17edaccf32a0ea1ffe590eedbe935320940",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "books/woit-qtgr/2025-10-20/en/chapter-07/04-complex-projective-space",
          "lang": "en",
          "source_category": "machine_draft",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-fe669636a323714cd02bf823"
    },
    {
      "concept_id": "urn:uuid:1002fcb8-4c5d-4471-a9be-ebff4f4e5dd1",
      "book_id": "woit-qtgr",
      "edition_id": "2025-10-20",
      "lang": "zh-CN",
      "route": "books/woit-qtgr/2025-10-20/zh/chapter-07/05-the-bloch-sphere",
      "anchor": "source-7-5-complex-projective-space",
      "chapter": "7",
      "section": "7.5",
      "offset": 1862,
      "range": [
        9725,
        10008
      ],
      "source_revision": "de552b03ab3055e24dfb26031f138fb19cbe14a7e10ebbc86ec881b4f379f724",
      "source_category": "machine_draft",
      "review_status": "machine-draft-not-reviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "复射影空间(complex projective space)",
      "context": {
        "range": [
          9672,
          10112
        ],
        "quote": "这些特征向量张成一个一维子空间 $\\mathbf{C}\\subset\\mathcal{H}$，因而给出了[<u class=\"concept-term\" data-concept-reference=\"concepts/topology/complex-projective-space\" data-concept-identity=\"urn:uuid:1002fcb8-4c5d-4471-a9be-ebff4f4e5dd1\" data-concept-route=\"/concept-identities#concept-1002fcb8-4c5d-4471-a9be-ebff4f4e5dd1\">复射影空间(complex projective space)</u>](../../../../../concepts/topology/complex-projective-space.md) $\\mathbf{C}P^1$ 中各点的另一种参数化。也可以等价地考虑下列算符：",
        "quote_sha256": "1f5b76afab94ebadd4c6669ca575d0ad3f00867f6c7196485599c2343b4fe471",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "books/woit-qtgr/2025-10-20/en/chapter-07/05-the-bloch-sphere",
          "lang": "en",
          "source_category": "machine_draft",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-f77f823315ec17bdf80cb7bb"
    },
    {
      "concept_id": "urn:uuid:1002fcb8-4c5d-4471-a9be-ebff4f4e5dd1",
      "book_id": "woit-qtgr",
      "edition_id": "2025-10-20",
      "lang": "en",
      "route": "books/woit-qtgr/2025-10-20/en/chapter-07/05-the-bloch-sphere",
      "anchor": "source-7-5-complex-projective-space",
      "chapter": "7",
      "section": "7.5",
      "offset": 2129,
      "range": [
        9203,
        9479
      ],
      "source_revision": "6f8c687b0a6feb674feacdbe88d4253a08f9fdcc131e7a7b299a069f0c255fc6",
      "source_category": "machine_draft",
      "review_status": "machine-draft-not-reviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "complex projective space",
      "context": {
        "range": [
          9071,
          9597
        ],
        "quote": "These eigenvectors span a one-dimensional subspace $\\mathbf{C}\\subset\\mathcal{H}$, giving another parametrization of points in the [<u class=\"concept-term\" data-concept-reference=\"concepts/topology/complex-projective-space\" data-concept-identity=\"urn:uuid:1002fcb8-4c5d-4471-a9be-ebff4f4e5dd1\" data-concept-route=\"/concept-identities#concept-1002fcb8-4c5d-4471-a9be-ebff4f4e5dd1\">complex projective space</u>](../../../../../concepts/topology/complex-projective-space.md) $\\mathbf{C}P^1$. Equivalently, consider the operators:",
        "quote_sha256": "26fd47e840e09688ee205f9815939a74216937036b824ff3d7a3559c03f269f9",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "books/woit-qtgr/2025-10-20/zh/chapter-07/05-the-bloch-sphere",
          "lang": "zh-CN",
          "source_category": "machine_draft",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-30cd80dde7bd2777755ba4ae"
    }
  ],
  "registered_positions": [
    {
      "route": "books/woit-qtgr/2025-10-20/en/chapter-07/04-complex-projective-space",
      "lang": "en",
      "section": "7.4",
      "signal": "term-mark",
      "label": "Complex projective space",
      "english": "Complex projective space",
      "offset": 61
    },
    {
      "route": "books/woit-qtgr/2025-10-20/zh/chapter-07/04-complex-projective-space",
      "lang": "zh-CN",
      "section": "7.4",
      "signal": "term-mark",
      "label": "复射影空间",
      "english": "complex projective space",
      "offset": 61
    },
    {
      "route": "books/woit-qtgr/2025-10-20/en/chapter-07/05-the-bloch-sphere",
      "lang": "en",
      "section": "7.5",
      "signal": "term-mark",
      "label": "complex projective space",
      "english": "complex projective space",
      "offset": 1626
    },
    {
      "route": "books/woit-qtgr/2025-10-20/zh/chapter-07/05-the-bloch-sphere",
      "lang": "zh-CN",
      "section": "7.5",
      "signal": "term-mark",
      "label": "复射影空间",
      "english": "complex projective space",
      "offset": 1359
    }
  ],
  "statements": [],
  "resolved_references": [],
  "reading_order": [
    "occ-2e6d3550007f18fd5bcdd6a3",
    "occ-fe669636a323714cd02bf823",
    "occ-f77f823315ec17bdf80cb7bb",
    "occ-30cd80dde7bd2777755ba4ae"
  ],
  "recorded_dependencies": [],
  "reading_paths": [],
  "coverage": {
    "registered_positions": 4,
    "located_occurrences": 4,
    "whole_book_search_complete": false,
    "registered_positions_truncated": false,
    "independent_human_review_implied": false
  },
  "unresolved": [],
  "base_revision": "06f1ed0f325921bb5418a9ba90bc7b45e671b91312b6541aaff9ac568db654f5",
  "optional_enrichments": []
}