{
  "schema_version": 1,
  "kind": "ConceptView",
  "producer": "concept-view-1",
  "concept_id": "urn:uuid:e3a3dd64-f1f6-4a49-a701-6c3be5b2c642",
  "labels": {
    "zh-CN": "弧连通空间",
    "en": "arcwise connected space"
  },
  "alternative_labels": [
    {
      "lang": "en",
      "value": "arcwise connected",
      "pos": "adjective",
      "condition": "Nakahara Definition 2.8：弧连通空间。完整条件以所列原文节点为准；不将同框中作为前提提及的概念视为被定义。"
    },
    {
      "lang": "zh-CN",
      "value": "弧连通的",
      "pos": "adjective",
      "condition": "Nakahara Definition 2.8：弧连通空间。完整条件以所列原文节点为准；不将同框中作为前提提及的概念视为被定义。"
    }
  ],
  "scope_note": "Nakahara Definition 2.8：弧连通空间。完整条件以所列原文节点为准；不将同框中作为前提提及的概念视为被定义。",
  "identity_status": "active",
  "identity_revision": "62189a6112aad3b40d58b32e7f360a83a65fdda0f99e9c5b7d3883807d13c19d",
  "occurrences": [
    {
      "concept_id": "urn:uuid:e3a3dd64-f1f6-4a49-a701-6c3be5b2c642",
      "book_id": "nakahara-geometry-topology-physics",
      "edition_id": "second-edition-local",
      "lang": "zh-CN",
      "route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-02/03-section-2-3",
      "anchor": "bound-first-e0d095388971f4e9de0789fe",
      "chapter": "2",
      "section": "2.3",
      "offset": 49921,
      "range": [
        63552,
        64130
      ],
      "source_revision": "c5e89f923ea3f780041b1df7ba9dee3b1f4474141de883a2d8da831c1b17ad83",
      "source_category": "machine_draft",
      "review_status": "unreviewed",
      "role": "first-mention",
      "role_basis": {
        "kind": "explicit-source-uuid-marker",
        "source_bound_role": "first-mention",
        "first_mention": true,
        "source_node": "a-4e59d74469cad2fc983d13a4",
        "source_sidecar": {
          "path": "library/books/nakahara-geometry-topology-physics/second-edition-local/provenance/chapter-02/concept-annotations.json",
          "sha256": "2754913c835d3c36de466e568de8cb7ce81b61b6fe37a2fbcc6cc25f2be28f6f",
          "page": "2.3",
          "annotation_count": 73,
          "policy": "explicit-source-bound-UUIDs; no string-based identity allocation",
          "rendered_annotation_count": 41,
          "plain_mention_count": 32,
          "display_policy": "clickable-only"
        }
      },
      "label": "弧连通的",
      "context": {
        "range": [
          62256,
          68369
        ],
        "quote": null,
        "quote_sha256": "a959954f00c8d4e9a9cd1c4da1e789907ef1a6d2b9defdcede5c90cf3f64bf8b",
        "environment": "definition",
        "excerpt_omitted": true
      },
      "parallel_readings": [
        {
          "route": "books/nakahara-geometry-topology-physics/second-edition-local/en/chapter-02/03-section-2-3",
          "lang": "en",
          "source_category": "machine_draft",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-e9532fbbadd0866595bcc847"
    },
    {
      "concept_id": "urn:uuid:e3a3dd64-f1f6-4a49-a701-6c3be5b2c642",
      "book_id": "nakahara-geometry-topology-physics",
      "edition_id": "second-edition-local",
      "lang": "zh-CN",
      "route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/02-section-4-2",
      "anchor": "bound-definition-fa4f45b191b252ac80e92e28",
      "chapter": "4",
      "section": "4.2",
      "offset": 1412,
      "range": [
        14289,
        14948
      ],
      "source_revision": "0d2ea865f77644f0a36813a8be1649b04b854d432ffad5c714d2fa7e0b31fb3a",
      "source_category": "machine_draft",
      "review_status": "unreviewed",
      "role": "definition",
      "role_basis": {
        "kind": "explicit-source-uuid-marker",
        "source_bound_role": "definition",
        "first_mention": false,
        "source_node": "a-a7ef2ae8d6f043e57fe5d114",
        "source_sidecar": {
          "path": "library/books/nakahara-geometry-topology-physics/second-edition-local/provenance/chapter-04/concept-annotations.json",
          "sha256": "d5e62dfb62385102900f839c1162f627e780f8e168759526961482268ef49ac4",
          "page": "4.2",
          "annotation_count": 46,
          "policy": "explicit-source-bound-UUIDs; no string-based identity allocation",
          "rendered_annotation_count": 28,
          "plain_mention_count": 18,
          "display_policy": "clickable-only"
        }
      },
      "label": "弧连通的(arcwise connected)",
      "context": {
        "range": [
          13146,
          15865
        ],
        "quote": null,
        "quote_sha256": "fa2c8e136efc0d0d1f55c664f502eed430ef0f6f55c14a65e561246c8f24a969",
        "environment": null,
        "excerpt_omitted": true
      },
      "parallel_readings": [
        {
          "route": "books/nakahara-geometry-topology-physics/second-edition-local/en/chapter-04/02-section-4-2",
          "lang": "en",
          "source_category": "machine_draft",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-a818c823c3ba9cc9e685bd61"
    },
    {
      "concept_id": "urn:uuid:e3a3dd64-f1f6-4a49-a701-6c3be5b2c642",
      "book_id": "nakahara-geometry-topology-physics",
      "edition_id": "second-edition-local",
      "lang": "zh-CN",
      "route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/03-section-4-3",
      "anchor": "bound-mention-bd653901077db9bebc5293c6",
      "chapter": "4",
      "section": "4.3",
      "offset": 17770,
      "range": [
        27595,
        28338
      ],
      "source_revision": "b6c48aa95d2808f1938b4b00fa8ec46f3d5747242c414e9affe3291f5e5b28e1",
      "source_category": "machine_draft",
      "review_status": "unreviewed",
      "role": "discussion",
      "role_basis": {
        "kind": "explicit-source-uuid-marker",
        "source_bound_role": "discussion",
        "first_mention": false,
        "source_node": "a-9a51d674ded3a0b0a635318e",
        "source_sidecar": {
          "path": "library/books/nakahara-geometry-topology-physics/second-edition-local/provenance/chapter-04/concept-annotations.json",
          "sha256": "d5e62dfb62385102900f839c1162f627e780f8e168759526961482268ef49ac4",
          "page": "4.3",
          "annotation_count": 25,
          "policy": "explicit-source-bound-UUIDs; no string-based identity allocation",
          "rendered_annotation_count": 20,
          "plain_mention_count": 5,
          "display_policy": "clickable-only"
        }
      },
      "label": "弧连通的",
      "context": {
        "range": [
          18852,
          28356
        ],
        "quote": null,
        "quote_sha256": "ab2939a40bc7d1c96ae7df67020ed62da8bccd0764f390adc6907b5023370808",
        "environment": "lemma",
        "excerpt_omitted": true
      },
      "parallel_readings": [
        {
          "route": "books/nakahara-geometry-topology-physics/second-edition-local/en/chapter-04/03-section-4-3",
          "lang": "en",
          "source_category": "machine_draft",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-f95f2a3ad910df04368cd0cd"
    },
    {
      "concept_id": "urn:uuid:e3a3dd64-f1f6-4a49-a701-6c3be5b2c642",
      "book_id": "nakahara-geometry-topology-physics",
      "edition_id": "second-edition-local",
      "lang": "zh-CN",
      "route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/04-section-4-4",
      "anchor": "bound-mention-d6677b27af7a9e5d4a6a40a8",
      "chapter": "4",
      "section": "4.4",
      "offset": 41298,
      "range": [
        62109,
        62852
      ],
      "source_revision": "5cc56fc83aff4a59e8720803d37a7585e7e524c6a07e1a673ac5181fd93d0db9",
      "source_category": "machine_draft",
      "review_status": "unreviewed",
      "role": "discussion",
      "role_basis": {
        "kind": "explicit-source-uuid-marker",
        "source_bound_role": "discussion",
        "first_mention": false,
        "source_node": "a-757460b163955c59ab028f92",
        "source_sidecar": {
          "path": "library/books/nakahara-geometry-topology-physics/second-edition-local/provenance/chapter-04/concept-annotations.json",
          "sha256": "d5e62dfb62385102900f839c1162f627e780f8e168759526961482268ef49ac4",
          "page": "4.4",
          "annotation_count": 84,
          "policy": "explicit-source-bound-UUIDs; no string-based identity allocation",
          "rendered_annotation_count": 45,
          "plain_mention_count": 39,
          "display_policy": "clickable-only"
        }
      },
      "label": "弧连通的",
      "context": {
        "range": [
          61335,
          63701
        ],
        "quote": null,
        "quote_sha256": "433b97432e01a8244b48aaca2fefe1609c5b044620992ce8c52fccfa69d4de6f",
        "environment": null,
        "excerpt_omitted": true
      },
      "parallel_readings": [
        {
          "route": "books/nakahara-geometry-topology-physics/second-edition-local/en/chapter-04/04-section-4-4",
          "lang": "en",
          "source_category": "machine_draft",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-a8fc8745f2b594f83178fd56"
    },
    {
      "concept_id": "urn:uuid:e3a3dd64-f1f6-4a49-a701-6c3be5b2c642",
      "book_id": "nakahara-geometry-topology-physics",
      "edition_id": "second-edition-local",
      "lang": "zh-CN",
      "route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/06-section-4-6",
      "anchor": "bound-mention-054617f5a5ab0ba7935e3a5d",
      "chapter": "4",
      "section": "4.6",
      "offset": 4914,
      "range": [
        16855,
        17598
      ],
      "source_revision": "210cb7a161523b4ae8246b7b30c4430713a9a6445aa7d44df1dde23057771b69",
      "source_category": "machine_draft",
      "review_status": "unreviewed",
      "role": "discussion",
      "role_basis": {
        "kind": "explicit-source-uuid-marker",
        "source_bound_role": "discussion",
        "first_mention": false,
        "source_node": "a-1dbdad4b2a0a2e43b849b417",
        "source_sidecar": {
          "path": "library/books/nakahara-geometry-topology-physics/second-edition-local/provenance/chapter-04/concept-annotations.json",
          "sha256": "d5e62dfb62385102900f839c1162f627e780f8e168759526961482268ef49ac4",
          "page": "4.6",
          "annotation_count": 34,
          "policy": "explicit-source-bound-UUIDs; no string-based identity allocation",
          "rendered_annotation_count": 22,
          "plain_mention_count": 12,
          "display_policy": "clickable-only"
        }
      },
      "label": "弧连通的",
      "context": {
        "range": [
          15824,
          18299
        ],
        "quote": null,
        "quote_sha256": "0c68723eef2737cb8223cb153546614fe510640189bd2de72057c8cb8e6616d1",
        "environment": null,
        "excerpt_omitted": true
      },
      "parallel_readings": [
        {
          "route": "books/nakahara-geometry-topology-physics/second-edition-local/en/chapter-04/06-section-4-6",
          "lang": "en",
          "source_category": "machine_draft",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-d6ccc7591f1b18c1c9ceb0d6"
    }
  ],
  "registered_positions": [],
  "statements": [],
  "resolved_references": [
    {
      "raw": "href=\"03-section-2-3.md#definition-2-8\"",
      "href": "03-section-2-3.md#definition-2-8",
      "range": [
        62301,
        62340
      ],
      "relation": "references",
      "target_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-02/03-section-2-3",
      "target_anchor": "definition-2-8",
      "resolved": true,
      "reason": null,
      "source_revision": "c5e89f923ea3f780041b1df7ba9dee3b1f4474141de883a2d8da831c1b17ad83",
      "source_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-02/03-section-2-3",
      "occurrence_id": "occ-e9532fbbadd0866595bcc847"
    },
    {
      "raw": "href=\"../chapter-04/02-section-4-2.md#bound-definition-fa4f45b191b252ac80e92e28\"",
      "href": "../chapter-04/02-section-4-2.md#bound-definition-fa4f45b191b252ac80e92e28",
      "range": [
        63471,
        63551
      ],
      "relation": "references",
      "target_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/02-section-4-2",
      "target_anchor": "bound-definition-fa4f45b191b252ac80e92e28",
      "resolved": true,
      "reason": null,
      "source_revision": "c5e89f923ea3f780041b1df7ba9dee3b1f4474141de883a2d8da831c1b17ad83",
      "source_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-02/03-section-2-3",
      "occurrence_id": "occ-e9532fbbadd0866595bcc847"
    },
    {
      "raw": "href=\"../chapter-04/01-section-4-1.md#bound-definition-72bf03999c4b5b7b12d6563a\"",
      "href": "../chapter-04/01-section-4-1.md#bound-definition-72bf03999c4b5b7b12d6563a",
      "range": [
        65001,
        65081
      ],
      "relation": "references",
      "target_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/01-section-4-1",
      "target_anchor": "bound-definition-72bf03999c4b5b7b12d6563a",
      "resolved": true,
      "reason": null,
      "source_revision": "c5e89f923ea3f780041b1df7ba9dee3b1f4474141de883a2d8da831c1b17ad83",
      "source_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-02/03-section-2-3",
      "occurrence_id": "occ-e9532fbbadd0866595bcc847"
    },
    {
      "raw": "href=\"../chapter-04/02-section-4-2.md#bound-definition-dd3051b34cdd1c57cb935a6d\"",
      "href": "../chapter-04/02-section-4-2.md#bound-definition-dd3051b34cdd1c57cb935a6d",
      "range": [
        66168,
        66248
      ],
      "relation": "references",
      "target_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/02-section-4-2",
      "target_anchor": "bound-definition-dd3051b34cdd1c57cb935a6d",
      "resolved": true,
      "reason": null,
      "source_revision": "c5e89f923ea3f780041b1df7ba9dee3b1f4474141de883a2d8da831c1b17ad83",
      "source_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-02/03-section-2-3",
      "occurrence_id": "occ-e9532fbbadd0866595bcc847"
    },
    {
      "raw": "href=\"03-section-2-3.md#example-2-12\"",
      "href": "03-section-2-3.md#example-2-12",
      "range": [
        66877,
        66914
      ],
      "relation": "references",
      "target_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-02/03-section-2-3",
      "target_anchor": "example-2-12",
      "resolved": true,
      "reason": null,
      "source_revision": "c5e89f923ea3f780041b1df7ba9dee3b1f4474141de883a2d8da831c1b17ad83",
      "source_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-02/03-section-2-3",
      "occurrence_id": "occ-e9532fbbadd0866595bcc847"
    },
    {
      "raw": "href=\"../chapter-02/03-section-2-3.md#section-2-3\"",
      "href": "../chapter-02/03-section-2-3.md#section-2-3",
      "range": [
        13250,
        13300
      ],
      "relation": "references",
      "target_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-02/03-section-2-3",
      "target_anchor": "section-2-3",
      "resolved": true,
      "reason": null,
      "source_revision": "0d2ea865f77644f0a36813a8be1649b04b854d432ffad5c714d2fa7e0b31fb3a",
      "source_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/02-section-4-2",
      "occurrence_id": "occ-a818c823c3ba9cc9e685bd61"
    },
    {
      "raw": "href=\"../chapter-02/03-section-2-3.md#bound-definition-bea63120260758e422dc7e27\"",
      "href": "../chapter-02/03-section-2-3.md#bound-definition-bea63120260758e422dc7e27",
      "range": [
        13351,
        13431
      ],
      "relation": "references",
      "target_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-02/03-section-2-3",
      "target_anchor": "bound-definition-bea63120260758e422dc7e27",
      "resolved": true,
      "reason": null,
      "source_revision": "0d2ea865f77644f0a36813a8be1649b04b854d432ffad5c714d2fa7e0b31fb3a",
      "source_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/02-section-4-2",
      "occurrence_id": "occ-a818c823c3ba9cc9e685bd61"
    },
    {
      "raw": "href=\"01-section-4-1.md#bound-definition-886581a142e34900292cc0ea\"",
      "href": "01-section-4-1.md#bound-definition-886581a142e34900292cc0ea",
      "range": [
        15007,
        15073
      ],
      "relation": "references",
      "target_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/01-section-4-1",
      "target_anchor": "bound-definition-886581a142e34900292cc0ea",
      "resolved": true,
      "reason": null,
      "source_revision": "0d2ea865f77644f0a36813a8be1649b04b854d432ffad5c714d2fa7e0b31fb3a",
      "source_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/02-section-4-2",
      "occurrence_id": "occ-a818c823c3ba9cc9e685bd61"
    },
    {
      "raw": "href=\"03-section-4-3.md#lemma-4-2\"",
      "href": "03-section-4-3.md#lemma-4-2",
      "range": [
        18892,
        18926
      ],
      "relation": "references",
      "target_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/03-section-4-3",
      "target_anchor": "lemma-4-2",
      "resolved": true,
      "reason": null,
      "source_revision": "b6c48aa95d2808f1938b4b00fa8ec46f3d5747242c414e9affe3291f5e5b28e1",
      "source_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/03-section-4-3",
      "occurrence_id": "occ-f95f2a3ad910df04368cd0cd"
    },
    {
      "raw": "href=\"01-section-4-1.md#bound-definition-4a2489d02e04924c4017048c\"",
      "href": "01-section-4-1.md#bound-definition-4a2489d02e04924c4017048c",
      "range": [
        19175,
        19241
      ],
      "relation": "references",
      "target_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/01-section-4-1",
      "target_anchor": "bound-definition-4a2489d02e04924c4017048c",
      "resolved": true,
      "reason": null,
      "source_revision": "b6c48aa95d2808f1938b4b00fa8ec46f3d5747242c414e9affe3291f5e5b28e1",
      "source_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/03-section-4-3",
      "occurrence_id": "occ-f95f2a3ad910df04368cd0cd"
    },
    {
      "raw": "href=\"../chapter-09/02-section-9-2.md#bound-definition-07d72bb30b9788a7ca3d8aec\"",
      "href": "../chapter-09/02-section-9-2.md#bound-definition-07d72bb30b9788a7ca3d8aec",
      "range": [
        21248,
        21328
      ],
      "relation": "references",
      "target_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-09/02-section-9-2",
      "target_anchor": "bound-definition-07d72bb30b9788a7ca3d8aec",
      "resolved": true,
      "reason": null,
      "source_revision": "b6c48aa95d2808f1938b4b00fa8ec46f3d5747242c414e9affe3291f5e5b28e1",
      "source_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/03-section-4-3",
      "occurrence_id": "occ-f95f2a3ad910df04368cd0cd"
    },
    {
      "raw": "[引理 4.2](03-section-4-3.md#lemma-4-2)",
      "href": "03-section-4-3.md#lemma-4-2",
      "range": [
        22625,
        22662
      ],
      "relation": "references",
      "target_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/03-section-4-3",
      "target_anchor": "lemma-4-2",
      "resolved": true,
      "reason": null,
      "source_revision": "b6c48aa95d2808f1938b4b00fa8ec46f3d5747242c414e9affe3291f5e5b28e1",
      "source_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/03-section-4-3",
      "occurrence_id": "occ-f95f2a3ad910df04368cd0cd"
    },
    {
      "raw": "href=\"../chapter-02/01-section-2-1.md#bound-definition-bb88bbb0cbdedf43846d8f4d\"",
      "href": "../chapter-02/01-section-2-1.md#bound-definition-bb88bbb0cbdedf43846d8f4d",
      "range": [
        22785,
        22865
      ],
      "relation": "references",
      "target_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-02/01-section-2-1",
      "target_anchor": "bound-definition-bb88bbb0cbdedf43846d8f4d",
      "resolved": true,
      "reason": null,
      "source_revision": "b6c48aa95d2808f1938b4b00fa8ec46f3d5747242c414e9affe3291f5e5b28e1",
      "source_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/03-section-4-3",
      "occurrence_id": "occ-f95f2a3ad910df04368cd0cd"
    },
    {
      "raw": "href=\"01-section-4-1.md#bound-definition-72bf03999c4b5b7b12d6563a\"",
      "href": "01-section-4-1.md#bound-definition-72bf03999c4b5b7b12d6563a",
      "range": [
        24501,
        24567
      ],
      "relation": "references",
      "target_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/01-section-4-1",
      "target_anchor": "bound-definition-72bf03999c4b5b7b12d6563a",
      "resolved": true,
      "reason": null,
      "source_revision": "b6c48aa95d2808f1938b4b00fa8ec46f3d5747242c414e9affe3291f5e5b28e1",
      "source_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/03-section-4-3",
      "occurrence_id": "occ-f95f2a3ad910df04368cd0cd"
    },
    {
      "raw": "href=\"01-section-4-1.md#bound-definition-886581a142e34900292cc0ea\"",
      "href": "01-section-4-1.md#bound-definition-886581a142e34900292cc0ea",
      "range": [
        26127,
        26193
      ],
      "relation": "references",
      "target_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/01-section-4-1",
      "target_anchor": "bound-definition-886581a142e34900292cc0ea",
      "resolved": true,
      "reason": null,
      "source_revision": "b6c48aa95d2808f1938b4b00fa8ec46f3d5747242c414e9affe3291f5e5b28e1",
      "source_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/03-section-4-3",
      "occurrence_id": "occ-f95f2a3ad910df04368cd0cd"
    },
    {
      "raw": "href=\"03-section-4-3.md#theorem-4-5\"",
      "href": "03-section-4-3.md#theorem-4-5",
      "range": [
        27003,
        27039
      ],
      "relation": "references",
      "target_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/03-section-4-3",
      "target_anchor": "theorem-4-5",
      "resolved": true,
      "reason": null,
      "source_revision": "b6c48aa95d2808f1938b4b00fa8ec46f3d5747242c414e9affe3291f5e5b28e1",
      "source_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/03-section-4-3",
      "occurrence_id": "occ-f95f2a3ad910df04368cd0cd"
    },
    {
      "raw": "href=\"02-section-4-2.md#bound-definition-fa4f45b191b252ac80e92e28\"",
      "href": "02-section-4-2.md#bound-definition-fa4f45b191b252ac80e92e28",
      "range": [
        27528,
        27594
      ],
      "relation": "references",
      "target_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/02-section-4-2",
      "target_anchor": "bound-definition-fa4f45b191b252ac80e92e28",
      "resolved": true,
      "reason": null,
      "source_revision": "b6c48aa95d2808f1938b4b00fa8ec46f3d5747242c414e9affe3291f5e5b28e1",
      "source_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/03-section-4-3",
      "occurrence_id": "occ-f95f2a3ad910df04368cd0cd"
    },
    {
      "raw": "href=\"02-section-4-2.md#bound-definition-fa4f45b191b252ac80e92e28\"",
      "href": "02-section-4-2.md#bound-definition-fa4f45b191b252ac80e92e28",
      "range": [
        62042,
        62108
      ],
      "relation": "references",
      "target_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/02-section-4-2",
      "target_anchor": "bound-definition-fa4f45b191b252ac80e92e28",
      "resolved": true,
      "reason": null,
      "source_revision": "5cc56fc83aff4a59e8720803d37a7585e7e524c6a07e1a673ac5181fd93d0db9",
      "source_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/04-section-4-4",
      "occurrence_id": "occ-a8fc8745f2b594f83178fd56"
    },
    {
      "raw": "href=\"02-section-4-2.md#bound-definition-dd3051b34cdd1c57cb935a6d\"",
      "href": "02-section-4-2.md#bound-definition-dd3051b34cdd1c57cb935a6d",
      "range": [
        62886,
        62952
      ],
      "relation": "references",
      "target_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/02-section-4-2",
      "target_anchor": "bound-definition-dd3051b34cdd1c57cb935a6d",
      "resolved": true,
      "reason": null,
      "source_revision": "5cc56fc83aff4a59e8720803d37a7585e7e524c6a07e1a673ac5181fd93d0db9",
      "source_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/04-section-4-4",
      "occurrence_id": "occ-a8fc8745f2b594f83178fd56"
    },
    {
      "raw": "href=\"../chapter-02/03-section-2-3.md#bound-definition-bea63120260758e422dc7e27\"",
      "href": "../chapter-02/03-section-2-3.md#bound-definition-bea63120260758e422dc7e27",
      "range": [
        15925,
        16005
      ],
      "relation": "references",
      "target_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-02/03-section-2-3",
      "target_anchor": "bound-definition-bea63120260758e422dc7e27",
      "resolved": true,
      "reason": null,
      "source_revision": "210cb7a161523b4ae8246b7b30c4430713a9a6445aa7d44df1dde23057771b69",
      "source_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/06-section-4-6",
      "occurrence_id": "occ-d6ccc7591f1b18c1c9ceb0d6"
    },
    {
      "raw": "href=\"02-section-4-2.md#bound-definition-fa4f45b191b252ac80e92e28\"",
      "href": "02-section-4-2.md#bound-definition-fa4f45b191b252ac80e92e28",
      "range": [
        16788,
        16854
      ],
      "relation": "references",
      "target_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/02-section-4-2",
      "target_anchor": "bound-definition-fa4f45b191b252ac80e92e28",
      "resolved": true,
      "reason": null,
      "source_revision": "210cb7a161523b4ae8246b7b30c4430713a9a6445aa7d44df1dde23057771b69",
      "source_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/06-section-4-6",
      "occurrence_id": "occ-d6ccc7591f1b18c1c9ceb0d6"
    },
    {
      "raw": "[定理 4.2](02-section-4-2.md#theorem-4-2)",
      "href": "02-section-4-2.md#theorem-4-2",
      "range": [
        17668,
        17707
      ],
      "relation": "references",
      "target_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/02-section-4-2",
      "target_anchor": "theorem-4-2",
      "resolved": true,
      "reason": null,
      "source_revision": "210cb7a161523b4ae8246b7b30c4430713a9a6445aa7d44df1dde23057771b69",
      "source_route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-04/06-section-4-6",
      "occurrence_id": "occ-d6ccc7591f1b18c1c9ceb0d6"
    }
  ],
  "reading_order": [
    "occ-e9532fbbadd0866595bcc847",
    "occ-a818c823c3ba9cc9e685bd61",
    "occ-f95f2a3ad910df04368cd0cd",
    "occ-a8fc8745f2b594f83178fd56",
    "occ-d6ccc7591f1b18c1c9ceb0d6"
  ],
  "recorded_dependencies": [],
  "reading_paths": [],
  "coverage": {
    "registered_positions": 0,
    "located_occurrences": 5,
    "whole_book_search_complete": false,
    "registered_positions_truncated": false,
    "independent_human_review_implied": false
  },
  "unresolved": [],
  "reviewed_definitions": [
    {
      "concept_id": "urn:uuid:e3a3dd64-f1f6-4a49-a701-6c3be5b2c642",
      "definition_id": "urn:uuid:30e4cf9c-bbbb-598d-bd95-4b8e78510788",
      "definition_group": "definition-2-8",
      "path": "library/concepts/source-evidence/mcp/4b5567b1d62e36f70f0c322435b74281317bcffa939fe46368aa9e60d1fbd2a7.txt",
      "range": [
        0,
        233
      ],
      "quote": "Definition 2.8. (a) A topological space  $X$  is connected if it cannot be written as  $X = X_{1} \\cup X_{2}$ , where  $X_{1}$  and  $X_{2}$  are both open and  $X_{1} \\cap X_{2} = \\emptyset$ . Otherwise  $X$  is called disconnected.",
      "document_sha256": "4b5567b1d62e36f70f0c322435b74281317bcffa939fe46368aa9e60d1fbd2a7",
      "quote_sha256": "4b5567b1d62e36f70f0c322435b74281317bcffa939fe46368aa9e60d1fbd2a7",
      "book_id": "nakahara-geometry-topology-physics",
      "edition_id": "second-edition-local",
      "scope": {
        "book_id": "nakahara-geometry-topology-physics",
        "edition_id": "second-edition-local",
        "source_id": "nakahara-mineru-bd76b709"
      },
      "section": "2.3.6",
      "pdf_page_index": 103,
      "node": "a-b36c5cef203845c407a942a3",
      "source_node_sha256": "4b5567b1d62e36f70f0c322435b74281317bcffa939fe46368aa9e60d1fbd2a7",
      "upstream": {
        "path": "library/concepts/source-evidence/mcp/d5162c4dd11f024518f7df02de51981ee9fcdc9f500bf322dbfffdef31ddcc95.json",
        "document_sha256": "d5162c4dd11f024518f7df02de51981ee9fcdc9f500bf322dbfffdef31ddcc95",
        "node_id": "a-b36c5cef203845c407a942a3",
        "node_source_sha256": "4b5567b1d62e36f70f0c322435b74281317bcffa939fe46368aa9e60d1fbd2a7"
      },
      "conditions": "Nakahara Definition 2.8：弧连通空间。完整条件以所列原文节点为准；不将同框中作为前提提及的概念视为被定义。",
      "review_status": "librarian-original-source-reviewed",
      "source_locator": {
        "path": "library/books/nakahara-geometry-topology-physics/second-edition-local/chapters/nakahara-2.yaml",
        "sha256": "89834b0642a82002e97141a8b6ca84c5605a9f9f55410f805e79a977e133dbb6",
        "book_id": "nakahara-geometry-topology-physics",
        "edition_id": "second-edition-local",
        "nodes": [
          "a-b36c5cef203845c407a942a3",
          "a-4e59d74469cad2fc983d13a4"
        ],
        "node_hashes": {
          "a-b36c5cef203845c407a942a3": "4b5567b1d62e36f70f0c322435b74281317bcffa939fe46368aa9e60d1fbd2a7",
          "a-4e59d74469cad2fc983d13a4": "971919611b5e3319f7244b9b3b9ce0cec9f921d6f33912a0610be6db85b112be"
        },
        "environment": "definition-2-8"
      },
      "environment_basis": {
        "path": "library/concepts/source-evidence/environment-basis/89834b0642a82002e97141a8b6ca84c5605a9f9f55410f805e79a977e133dbb6.yaml.txt",
        "document_sha256": "89834b0642a82002e97141a8b6ca84c5605a9f9f55410f805e79a977e133dbb6",
        "source_path": "library/books/nakahara-geometry-topology-physics/second-edition-local/chapters/nakahara-2.yaml"
      },
      "role": "definition",
      "first_in_book": "not-established",
      "evidence_origin": "explicit-reviewed-source-manifest",
      "definition_part": "definition-environment",
      "definition_part_basis": "original-environment-range",
      "reading_links": [
        {
          "route": "books/nakahara-geometry-topology-physics/second-edition-local/en/chapter-02/03-section-2-3",
          "anchor": "node-a-b36c5cef203845c407a942a3",
          "lang": "en",
          "basis": "explicit-source-anchor"
        },
        {
          "route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-02/03-section-2-3",
          "anchor": "node-a-b36c5cef203845c407a942a3",
          "lang": "zh-CN",
          "basis": "explicit-source-anchor"
        }
      ]
    },
    {
      "concept_id": "urn:uuid:e3a3dd64-f1f6-4a49-a701-6c3be5b2c642",
      "definition_id": "urn:uuid:30e4cf9c-bbbb-598d-bd95-4b8e78510788",
      "definition_group": "definition-2-8",
      "path": "library/concepts/source-evidence/mcp/971919611b5e3319f7244b9b3b9ce0cec9f921d6f33912a0610be6db85b112be.txt",
      "range": [
        0,
        484
      ],
      "quote": "(b) A topological space  $X$  is called arcwise connected if, for any points  $x, y \\in X$ , there exists a continuous map  $f: [0,1] \\to X$  such that  $f(0) = x$  and  $f(1) = y$ . With a few pathological exceptions, arcwise connectedness is practically equivalent to connectedness.\n(c) A loop in a topological space  $X$  is a continuous map  $f: [0,1] \\to X$  such that  $f(0) = f(1)$ . If any loop in  $X$  can be continuously shrunk to a point,  $X$  is called simply connected.",
      "document_sha256": "971919611b5e3319f7244b9b3b9ce0cec9f921d6f33912a0610be6db85b112be",
      "quote_sha256": "971919611b5e3319f7244b9b3b9ce0cec9f921d6f33912a0610be6db85b112be",
      "book_id": "nakahara-geometry-topology-physics",
      "edition_id": "second-edition-local",
      "scope": {
        "book_id": "nakahara-geometry-topology-physics",
        "edition_id": "second-edition-local",
        "source_id": "nakahara-mineru-bd76b709"
      },
      "section": "2.3.6",
      "pdf_page_index": 103,
      "node": "a-4e59d74469cad2fc983d13a4",
      "source_node_sha256": "971919611b5e3319f7244b9b3b9ce0cec9f921d6f33912a0610be6db85b112be",
      "upstream": {
        "path": "library/concepts/source-evidence/mcp/d5162c4dd11f024518f7df02de51981ee9fcdc9f500bf322dbfffdef31ddcc95.json",
        "document_sha256": "d5162c4dd11f024518f7df02de51981ee9fcdc9f500bf322dbfffdef31ddcc95",
        "node_id": "a-4e59d74469cad2fc983d13a4",
        "node_source_sha256": "971919611b5e3319f7244b9b3b9ce0cec9f921d6f33912a0610be6db85b112be"
      },
      "conditions": "Nakahara Definition 2.8：弧连通空间。完整条件以所列原文节点为准；不将同框中作为前提提及的概念视为被定义。",
      "review_status": "librarian-original-source-reviewed",
      "source_locator": {
        "path": "library/books/nakahara-geometry-topology-physics/second-edition-local/chapters/nakahara-2.yaml",
        "sha256": "89834b0642a82002e97141a8b6ca84c5605a9f9f55410f805e79a977e133dbb6",
        "book_id": "nakahara-geometry-topology-physics",
        "edition_id": "second-edition-local",
        "nodes": [
          "a-b36c5cef203845c407a942a3",
          "a-4e59d74469cad2fc983d13a4"
        ],
        "node_hashes": {
          "a-b36c5cef203845c407a942a3": "4b5567b1d62e36f70f0c322435b74281317bcffa939fe46368aa9e60d1fbd2a7",
          "a-4e59d74469cad2fc983d13a4": "971919611b5e3319f7244b9b3b9ce0cec9f921d6f33912a0610be6db85b112be"
        },
        "environment": "definition-2-8"
      },
      "environment_basis": {
        "path": "library/concepts/source-evidence/environment-basis/89834b0642a82002e97141a8b6ca84c5605a9f9f55410f805e79a977e133dbb6.yaml.txt",
        "document_sha256": "89834b0642a82002e97141a8b6ca84c5605a9f9f55410f805e79a977e133dbb6",
        "source_path": "library/books/nakahara-geometry-topology-physics/second-edition-local/chapters/nakahara-2.yaml"
      },
      "role": "definition",
      "first_in_book": "not-established",
      "evidence_origin": "explicit-reviewed-source-manifest",
      "definition_part": "definition-environment",
      "definition_part_basis": "original-environment-range",
      "reading_links": [
        {
          "route": "books/nakahara-geometry-topology-physics/second-edition-local/en/chapter-02/03-section-2-3",
          "anchor": "node-a-4e59d74469cad2fc983d13a4",
          "lang": "en",
          "basis": "explicit-source-anchor"
        },
        {
          "route": "books/nakahara-geometry-topology-physics/second-edition-local/zh/chapter-02/03-section-2-3",
          "anchor": "node-a-4e59d74469cad2fc983d13a4",
          "lang": "zh-CN",
          "basis": "explicit-source-anchor"
        }
      ]
    }
  ],
  "part_of_speech": "noun",
  "base_revision": "dc7d3dc11f3e5ce970646ddab4550a77f7cb5f6bc124d217249952d995075f4c",
  "optional_enrichments": []
}