"locally ringed space" meaning in English

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    {
      "form": "locally ringed spaces",
      "tags": [
        "plural"
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  "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 rings (called the structure sheaf) such that the stalk at each point is a local ring."
      ],
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        {
          "word": "scheme"
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      ],
      "id": "en-locally_ringed_space-en-noun-IDutiJzO",
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        [
          "sheaf theory",
          "sheaf theory"
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        [
          "scheme theory",
          "scheme theory"
        ],
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          "abstract",
          "abstract"
        ],
        [
          "object",
          "object"
        ],
        [
          "function",
          "function"
        ],
        [
          "germ",
          "germ"
        ],
        [
          "ringed space",
          "ringed space"
        ],
        [
          "topological space",
          "topological space"
        ],
        [
          "sheaf",
          "sheaf"
        ],
        [
          "ring",
          "ring"
        ],
        [
          "structure sheaf",
          "structure sheaf"
        ],
        [
          "stalk",
          "stalk"
        ],
        [
          "local ring",
          "local ring"
        ]
      ],
      "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 rings (called the structure sheaf) such that the stalk at each point is a local ring."
      ]
    }
  ],
  "word": "locally ringed space"
}

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      "form": "locally ringed spaces",
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  "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 rings (called the structure sheaf) such that the stalk at each point is a local ring."
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        {
          "word": "scheme"
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        [
          "ringed space",
          "ringed space"
        ],
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          "topological space",
          "topological space"
        ],
        [
          "sheaf",
          "sheaf"
        ],
        [
          "ring",
          "ring"
        ],
        [
          "structure sheaf",
          "structure sheaf"
        ],
        [
          "stalk",
          "stalk"
        ],
        [
          "local ring",
          "local ring"
        ]
      ],
      "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 rings (called the structure sheaf) such that the stalk at each point is a local ring."
      ]
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  "word": "locally ringed space"
}