ringed space in English

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{
  "forms": [
    {
      "form": "ringed spaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "ringed space (plural ringed spaces)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
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        },
        {
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          "source": "w"
        }
      ],
      "glosses": [
        "An abstract mathematical object generalizing the relationship between spaces of functions and the germs of those functions at particular points. Formally, a topological space equipped with a sheaf of rings (called the structure sheaf)."
      ],
      "id": "en-ringed_space-en-noun-qE-Twf7P",
      "links": [
        [
          "sheaf theory",
          "sheaf theory"
        ],
        [
          "scheme theory",
          "scheme theory"
        ],
        [
          "abstract",
          "abstract"
        ],
        [
          "object",
          "object"
        ],
        [
          "function",
          "function"
        ],
        [
          "germ",
          "germ"
        ],
        [
          "topological space",
          "topological space"
        ],
        [
          "sheaf",
          "sheaf"
        ],
        [
          "ring",
          "ring"
        ],
        [
          "structure sheaf",
          "structure sheaf"
        ]
      ],
      "qualifier": "sheaf theory; scheme theory; sheaf theory; scheme theory",
      "raw_glosses": [
        "(sheaf theory, scheme theory) An abstract mathematical object generalizing the relationship between spaces of functions and the germs of those functions at particular points. Formally, a topological space equipped with a sheaf of rings (called the structure sheaf)."
      ]
    }
  ],
  "word": "ringed space"
}

[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

{
  "forms": [
    {
      "form": "ringed spaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "ringed space (plural ringed spaces)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries"
      ],
      "glosses": [
        "An abstract mathematical object generalizing the relationship between spaces of functions and the germs of those functions at particular points. Formally, a topological space equipped with a sheaf of rings (called the structure sheaf)."
      ],
      "links": [
        [
          "sheaf theory",
          "sheaf theory"
        ],
        [
          "scheme theory",
          "scheme theory"
        ],
        [
          "abstract",
          "abstract"
        ],
        [
          "object",
          "object"
        ],
        [
          "function",
          "function"
        ],
        [
          "germ",
          "germ"
        ],
        [
          "topological space",
          "topological space"
        ],
        [
          "sheaf",
          "sheaf"
        ],
        [
          "ring",
          "ring"
        ],
        [
          "structure sheaf",
          "structure sheaf"
        ]
      ],
      "qualifier": "sheaf theory; scheme theory; sheaf theory; scheme theory",
      "raw_glosses": [
        "(sheaf theory, scheme theory) An abstract mathematical object generalizing the relationship between spaces of functions and the germs of those functions at particular points. Formally, a topological space equipped with a sheaf of rings (called the structure sheaf)."
      ]
    }
  ],
  "word": "ringed space"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-02-26 from the enwiktionary dump dated 2025-02-21 using wiktextract (ce0be54 and f2e72e5). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.

"ringed space" meaning in English

Noun

Inflected forms