"closed set" meaning in All languages combined

See closed set on Wiktionary

Noun [English]

Forms: closed sets [plural]
Head templates: {{en-noun}} closed set (plural closed sets)
  1. (topology) A set whose complement is open. Wikipedia link: closed set Categories (topical): Topology Translations (Translations): suljettu joukko (Finnish), ensemble fermé [masculine] (French), zbiór domknięty [masculine] (Polish), fechado [masculine] (Portuguese)
    Sense id: en-closed_set-en-noun--O52LvG7 Categories (other): English entries with incorrect language header Topics: mathematics, sciences, topology

Inflected forms

Download JSON data for closed set meaning in All languages combined (1.4kB)

{
  "forms": [
    {
      "form": "closed sets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "closed set (plural closed sets)",
      "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"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Topology",
          "orig": "en:Topology",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "Coordinate term: open set"
        }
      ],
      "glosses": [
        "A set whose complement is open."
      ],
      "id": "en-closed_set-en-noun--O52LvG7",
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "set",
          "set"
        ],
        [
          "complement",
          "complement"
        ],
        [
          "open",
          "open set"
        ]
      ],
      "raw_glosses": [
        "(topology) A set whose complement is open."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Translations",
          "word": "suljettu joukko"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "Translations",
          "tags": [
            "masculine"
          ],
          "word": "ensemble fermé"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "Translations",
          "tags": [
            "masculine"
          ],
          "word": "zbiór domknięty"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "Translations",
          "tags": [
            "masculine"
          ],
          "word": "fechado"
        }
      ],
      "wikipedia": [
        "closed set"
      ]
    }
  ],
  "word": "closed set"
}
{
  "forms": [
    {
      "form": "closed sets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "closed set (plural closed sets)",
      "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",
        "Translation table header lacks gloss",
        "en:Topology"
      ],
      "examples": [
        {
          "text": "Coordinate term: open set"
        }
      ],
      "glosses": [
        "A set whose complement is open."
      ],
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "set",
          "set"
        ],
        [
          "complement",
          "complement"
        ],
        [
          "open",
          "open set"
        ]
      ],
      "raw_glosses": [
        "(topology) A set whose complement is open."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ],
      "wikipedia": [
        "closed set"
      ]
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Translations",
      "word": "suljettu joukko"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "Translations",
      "tags": [
        "masculine"
      ],
      "word": "ensemble fermé"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "Translations",
      "tags": [
        "masculine"
      ],
      "word": "zbiór domknięty"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "Translations",
      "tags": [
        "masculine"
      ],
      "word": "fechado"
    }
  ],
  "word": "closed set"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-12 from the enwiktionary dump dated 2024-05-02 using wiktextract (ae36afe and 304864d). 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.