{
  "schema_version": 1,
  "kind": "ConceptView",
  "producer": "concept-view-1",
  "concept_id": "urn:uuid:5297658f-b601-4564-8c96-d8298c08cad7",
  "labels": {
    "zh-CN": "极大图册",
    "en": "maximal atlas"
  },
  "alternative_labels": [],
  "scope_note": "",
  "identity_status": "active",
  "identity_revision": "dfb16100a60458f1fc4d537822255bfa33e29a6ae918d8ce5c2f6bd3378fe41c",
  "occurrences": [
    {
      "concept_id": "urn:uuid:5297658f-b601-4564-8c96-d8298c08cad7",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "zh-CN",
      "route": "zh/chapter-15/01-differentiable-manifolds",
      "anchor": "concept-15-maximal-atlas",
      "chapter": "15",
      "section": "15.1",
      "offset": 4916,
      "range": [
        10104,
        10337
      ],
      "source_revision": "4462fc8c20d8593a4fb08e421a831d99d655bb6a097fa3579d9c651b04f5672d",
      "source_category": "translation",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "极大图册(maximal atlas)",
      "context": {
        "range": [
          10027,
          10938
        ],
        "quote": "因此，任何图册 $\\boldsymbol { A }$ 都可以通过向其中添加所有与 的图卡 $C ^ { \\infty }$ 相容的图卡，从而扩展为一个 <u id=\"concept-15-maximal-atlas\" class=\"concept-term\" data-concept-identity=\"urn:uuid:5297658f-b601-4564-8c96-d8298c08cad7\" data-concept-route=\"/concept-identities#concept-5297658f-b601-4564-8c96-d8298c08cad7\">极大图册(maximal atlas)</u>。这个极大图册称为 $M$ 上的一个 <u id=\"concept-15-differentiable-structure\" class=\"concept-term\" data-concept-identity=\"urn:uuid:5c84e88a-89e3-4262-b2c7-9fe2ef55d012\" data-concept-route=\"/concept-identities#concept-5c84e88a-89e3-4262-b2c7-9fe2ef55d012\">可微结构(differentiable structure)</u>。若 $M$ 是一个 $n$ 维拓扑流形，且 是 $M ,$ 上的一个可微结构，则称有序对 $( M , A )$ 为一个 <u id=\"concept-15-differentiable-manifold\" class=\"concept-term\" data-concept-identity=\"urn:uuid:a0553dab-d811-417e-8a79-67ec620792e7\" data-concept-route=\"/concept-identities#concept-a0553dab-d811-417e-8a79-67ec620792e7\">可微流形(differentiable manifold)</u>；通常就简记为 $M$。",
        "quote_sha256": "35bbf2065b3aa4b2fd5196ec446208156775835abb4fcc654c49ff1a549874d5",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "en/chapter-15/01-differentiable-manifolds",
          "lang": "en",
          "source_category": "original_transcription",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-638ad8c5c78b4f101ba0b03f"
    },
    {
      "concept_id": "urn:uuid:5297658f-b601-4564-8c96-d8298c08cad7",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "en",
      "route": "en/chapter-15/01-differentiable-manifolds",
      "anchor": "first-9d5ce9406e1e672e08ae-en",
      "chapter": "15",
      "section": "15.1",
      "offset": 6311,
      "range": [
        10992,
        11224
      ],
      "source_revision": "58a929d9614544dcb09f559c095b13f0f0ddf79dd34179c3ad56942fb79a9123",
      "source_category": "original_transcription",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "maximal atlas",
      "context": {
        "range": [
          10936,
          12001
        ],
        "quote": "Any atlas $\\boldsymbol { A }$ may thus be extended to a <u class=\"concept-term\" data-concept-identity=\"urn:uuid:5297658f-b601-4564-8c96-d8298c08cad7\" data-concept-route=\"/concept-identities#concept-5297658f-b601-4564-8c96-d8298c08cad7\" id=\"first-9d5ce9406e1e672e08ae-en\">maximal atlas</u> by adding to it all charts that are $C ^ { \\infty }$ -compatible with the charts of . This maximal atlas is called a <u class=\"concept-term\" data-concept-identity=\"urn:uuid:5c84e88a-89e3-4262-b2c7-9fe2ef55d012\" data-concept-route=\"/concept-identities#concept-5c84e88a-89e3-4262-b2c7-9fe2ef55d012\" id=\"first-361378f15f49e6a6b5e4-en\">differentiable structure</u> on $M$. A pair $( M , A )$ , where $M$, is an $n$-dimensional topological manifold and is a differentiable structure on $M ,$ , is called a <u class=\"concept-term\" data-concept-identity=\"urn:uuid:a0553dab-d811-417e-8a79-67ec620792e7\" data-concept-route=\"/concept-identities#concept-a0553dab-d811-417e-8a79-67ec620792e7\" id=\"first-00aa8b52b61298eda3c9-en\">differentiable manifold</u>; it is usually just denoted $M$.",
        "quote_sha256": "0ef1f108d226c869d3cf5a6945c4d903bbbf10d64fa08a1405a6d44a7ec36378",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "zh/chapter-15/01-differentiable-manifolds",
          "lang": "zh-CN",
          "source_category": "translation",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-090663225183f589250e745c"
    }
  ],
  "registered_positions": [
    {
      "route": "en/chapter-15/01-differentiable-manifolds",
      "lang": "en",
      "section": "15.1",
      "signal": "term-mark",
      "label": "maximal atlas",
      "english": "maximal atlas",
      "offset": 4974
    },
    {
      "route": "zh/chapter-15/01-differentiable-manifolds",
      "lang": "zh-CN",
      "section": "15.1",
      "signal": "term-mark",
      "label": "极大图册",
      "english": "maximal atlas",
      "offset": 3824
    }
  ],
  "statements": [],
  "resolved_references": [],
  "reading_order": [
    "occ-638ad8c5c78b4f101ba0b03f",
    "occ-090663225183f589250e745c"
  ],
  "recorded_dependencies": [],
  "reading_paths": [],
  "coverage": {
    "registered_positions": 2,
    "located_occurrences": 2,
    "whole_book_search_complete": false,
    "registered_positions_truncated": false,
    "independent_human_review_implied": false
  },
  "unresolved": [],
  "base_revision": "79e4cf499299687e6ca0908331cc06e2e2eb0a0e96fbcb87703509609a7d1648",
  "optional_enrichments": []
}