locally ringed space in English

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{
  "forms": [
    {
      "form": "locally ringed spaces",
      "tags": [
        "plural"
      ]
    }
  ],
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      "expansion": "locally ringed space (plural locally ringed spaces)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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      "glosses": [
        "An abstract mathematical object generalizing the relationship between spaces of functions and the germs of those functions at particular points (i.e. a ringed space) where the analogy with the motivating case is particularly strong. Formally, a topological space equipped with a sheaf of local rings (called the structure sheaf)."
      ],
      "hyponyms": [
        {
          "word": "scheme"
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      ],
      "id": "en-locally_ringed_space-en-noun-sN7WOflH",
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          "sheaf theory",
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        [
          "scheme theory",
          "scheme theory"
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          "abstract"
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        [
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        [
          "function",
          "function"
        ],
        [
          "germ",
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        ],
        [
          "ringed space",
          "ringed space"
        ],
        [
          "topological space",
          "topological space"
        ],
        [
          "sheaf",
          "sheaf"
        ],
        [
          "local",
          "local"
        ],
        [
          "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 (i.e. a ringed space) where the analogy with the motivating case is particularly strong. Formally, a topological space equipped with a sheaf of local rings (called the structure sheaf)."
      ]
    }
  ],
  "word": "locally ringed space"
}

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

{
  "forms": [
    {
      "form": "locally ringed spaces",
      "tags": [
        "plural"
      ]
    }
  ],
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      "expansion": "locally ringed space (plural locally ringed spaces)",
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      ],
      "glosses": [
        "An abstract mathematical object generalizing the relationship between spaces of functions and the germs of those functions at particular points (i.e. a ringed space) where the analogy with the motivating case is particularly strong. Formally, a topological space equipped with a sheaf of local rings (called the structure sheaf)."
      ],
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        {
          "word": "scheme"
        }
      ],
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          "sheaf theory",
          "sheaf theory"
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          "ringed space",
          "ringed space"
        ],
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          "topological space"
        ],
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          "sheaf",
          "sheaf"
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          "local",
          "local"
        ],
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          "ring",
          "ring"
        ],
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          "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 (i.e. a ringed space) where the analogy with the motivating case is particularly strong. Formally, a topological space equipped with a sheaf of local rings (called the structure sheaf)."
      ]
    }
  ],
  "word": "locally ringed space"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.

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"locally ringed space" meaning in English

Noun

Inflected forms