topological closure operator in English

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{
  "forms": [
    {
      "form": "topological closure operators",
      "tags": [
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      "expansion": "topological closure operator (plural topological closure operators)",
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  "pos": "noun",
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      "coordinate_terms": [
        {
          "word": "algebraic closure operator"
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      "glosses": [
        "A function on the subsets of a topological space that assigns to each subset its closure: the smallest closed set containing it."
      ],
      "id": "en-topological_closure_operator-en-noun-n4XGPg20",
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        [
          "topological space",
          "topological space"
        ],
        [
          "assign",
          "assign"
        ],
        [
          "closure",
          "closure"
        ],
        [
          "closed set",
          "closed set"
        ],
        [
          "contain",
          "contain"
        ]
      ],
      "raw_glosses": [
        "(mathematics, topology) A function on the subsets of a topological space that assigns to each subset its closure: the smallest closed set containing it."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "word": "topological closure operator"
}

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

{
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    {
      "form": "topological closure operators",
      "tags": [
        "plural"
      ]
    }
  ],
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      "args": {},
      "expansion": "topological closure operator (plural topological closure operators)",
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  "lang_code": "en",
  "pos": "noun",
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      "coordinate_terms": [
        {
          "word": "algebraic closure operator"
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      ],
      "glosses": [
        "A function on the subsets of a topological space that assigns to each subset its closure: the smallest closed set containing it."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
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          "topology",
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          "subset"
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          "topological space",
          "topological space"
        ],
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          "assign",
          "assign"
        ],
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          "closure",
          "closure"
        ],
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          "closed set",
          "closed set"
        ],
        [
          "contain",
          "contain"
        ]
      ],
      "raw_glosses": [
        "(mathematics, topology) A function on the subsets of a topological space that assigns to each subset its closure: the smallest closed set containing it."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "word": "topological closure operator"
}

Download raw JSONL data for topological closure operator meaning in English (1.2kB)

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-11-06 from the enwiktionary dump dated 2025-11-01 using wiktextract (1977306 and 928f69b). 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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"topological closure operator" meaning in English

Noun